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Finding the Third Proportional to 61,921,929 and 86,616,842

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Solution

The third proportional to 61,921,929 and 86,616,842 is: 121,160,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,921,929 : 86,616,842 = 86,616,842 : x
  2. Step 2: Convert to fraction form
    61,921,929/86,616,842 = 86,616,842/x
  3. Step 3: Cross multiply
    61,921,929x = 86,616,842 × 86,616,842
  4. Step 4: Simplify right side
    61,921,929x = 7,502,477,318,052,964
  5. Step 5: Solve for x
    x = 7,502,477,318,052,964/61,921,929
  6. Step 6: Final answer
    x = 121,160,264.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.