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Finding the Third Proportional to 64,676,090,574 and 140,740,838,577

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Solution

The third proportional to 64,676,090,574 and 140,740,838,577 is: 306,264,393,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676,090,574 : 140,740,838,577 = 140,740,838,577 : x
  2. Step 2: Convert to fraction form
    64,676,090,574/140,740,838,577 = 140,740,838,577/x
  3. Step 3: Cross multiply
    64,676,090,574x = 140,740,838,577 × 140,740,838,577
  4. Step 4: Simplify right side
    64,676,090,574x = 19,807,983,643,357,171,679,232
  5. Step 5: Solve for x
    x = 19,807,983,643,357,171,679,232/64,676,090,574
  6. Step 6: Final answer
    x = 306,264,393,341.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.