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Finding the Third Proportional to 64,736,562 and 138,706,902

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Solution

The third proportional to 64,736,562 and 138,706,902 is: 297,198,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,562 : 138,706,902 = 138,706,902 : x
  2. Step 2: Convert to fraction form
    64,736,562/138,706,902 = 138,706,902/x
  3. Step 3: Cross multiply
    64,736,562x = 138,706,902 × 138,706,902
  4. Step 4: Simplify right side
    64,736,562x = 19,239,604,662,437,604
  5. Step 5: Solve for x
    x = 19,239,604,662,437,604/64,736,562
  6. Step 6: Final answer
    x = 297,198,431.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.