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Finding the Third Proportional to 6,356,309,526 and 9,920,689,029

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Solution

The third proportional to 6,356,309,526 and 9,920,689,029 is: 15,483,838,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356,309,526 : 9,920,689,029 = 9,920,689,029 : x
  2. Step 2: Convert to fraction form
    6,356,309,526/9,920,689,029 = 9,920,689,029/x
  3. Step 3: Cross multiply
    6,356,309,526x = 9,920,689,029 × 9,920,689,029
  4. Step 4: Simplify right side
    6,356,309,526x = 98,420,070,810,120,962,048
  5. Step 5: Solve for x
    x = 98,420,070,810,120,962,048/6,356,309,526
  6. Step 6: Final answer
    x = 15,483,838,602.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.