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Finding the Third Proportional to 20,384,434,210,029 and 44,715,399,860,937

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Solution

The third proportional to 20,384,434,210,029 and 44,715,399,860,937 is: 98,087,931,414,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384,434,210,029 : 44,715,399,860,937 = 44,715,399,860,937 : x
  2. Step 2: Convert to fraction form
    20,384,434,210,029/44,715,399,860,937 = 44,715,399,860,937/x
  3. Step 3: Cross multiply
    20,384,434,210,029x = 44,715,399,860,937 × 44,715,399,860,937
  4. Step 4: Simplify right side
    20,384,434,210,029x = 1,999,466,984,723,484,669,019,947,008
  5. Step 5: Solve for x
    x = 1,999,466,984,723,484,669,019,947,008/20,384,434,210,029
  6. Step 6: Final answer
    x = 98,087,931,414,832.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.