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Finding the Third Proportional to 13,977,780 and 29,898,708

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Solution

The third proportional to 13,977,780 and 29,898,708 is: 63,953,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977,780 : 29,898,708 = 29,898,708 : x
  2. Step 2: Convert to fraction form
    13,977,780/29,898,708 = 29,898,708/x
  3. Step 3: Cross multiply
    13,977,780x = 29,898,708 × 29,898,708
  4. Step 4: Simplify right side
    13,977,780x = 893,932,740,069,264
  5. Step 5: Solve for x
    x = 893,932,740,069,264/13,977,780
  6. Step 6: Final answer
    x = 63,953,842.46

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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.