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Finding the Third Proportional to 14,509,617 and 31,671,822

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Solution

The third proportional to 14,509,617 and 31,671,822 is: 69,133,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509,617 : 31,671,822 = 31,671,822 : x
  2. Step 2: Convert to fraction form
    14,509,617/31,671,822 = 31,671,822/x
  3. Step 3: Cross multiply
    14,509,617x = 31,671,822 × 31,671,822
  4. Step 4: Simplify right side
    14,509,617x = 1,003,104,308,799,684
  5. Step 5: Solve for x
    x = 1,003,104,308,799,684/14,509,617
  6. Step 6: Final answer
    x = 69,133,755.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.