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Finding the Third Proportional to 10,447,698 and 14,187,714

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Solution

The third proportional to 10,447,698 and 14,187,714 is: 19,266,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,698 : 14,187,714 = 14,187,714 : x
  2. Step 2: Convert to fraction form
    10,447,698/14,187,714 = 14,187,714/x
  3. Step 3: Cross multiply
    10,447,698x = 14,187,714 × 14,187,714
  4. Step 4: Simplify right side
    10,447,698x = 201,291,228,545,796
  5. Step 5: Solve for x
    x = 201,291,228,545,796/10,447,698
  6. Step 6: Final answer
    x = 19,266,562.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.