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Finding the Third Proportional to 7,750,107 and 16,977,654

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Solution

The third proportional to 7,750,107 and 16,977,654 is: 37,191,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,107 : 16,977,654 = 16,977,654 : x
  2. Step 2: Convert to fraction form
    7,750,107/16,977,654 = 16,977,654/x
  3. Step 3: Cross multiply
    7,750,107x = 16,977,654 × 16,977,654
  4. Step 4: Simplify right side
    7,750,107x = 288,240,735,343,716
  5. Step 5: Solve for x
    x = 288,240,735,343,716/7,750,107
  6. Step 6: Final answer
    x = 37,191,839.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.