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Finding the Third Proportional to 10,707,443.16 and 16,312,114.13

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Solution

The third proportional to 10,707,443.16 and 16,312,114.13 is: 24,850,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707,443.16 : 16,312,114.13 = 16,312,114.13 : x
  2. Step 2: Convert to fraction form
    10,707,443.16/16,312,114.13 = 16,312,114.13/x
  3. Step 3: Cross multiply
    10,707,443.16x = 16,312,114.13 × 16,312,114.13
  4. Step 4: Simplify right side
    10,707,443.16x = 266,085,067,227,024.50
  5. Step 5: Solve for x
    x = 266,085,067,227,024.50/10,707,443.16
  6. Step 6: Final answer
    x = 24,850,476.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.