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Finding the Third Proportional to 14,575,899 and 31,897,591

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Solution

The third proportional to 14,575,899 and 31,897,591 is: 69,804,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575,899 : 31,897,591 = 31,897,591 : x
  2. Step 2: Convert to fraction form
    14,575,899/31,897,591 = 31,897,591/x
  3. Step 3: Cross multiply
    14,575,899x = 31,897,591 × 31,897,591
  4. Step 4: Simplify right side
    14,575,899x = 1,017,456,311,603,281
  5. Step 5: Solve for x
    x = 1,017,456,311,603,281/14,575,899
  6. Step 6: Final answer
    x = 69,804,017.69

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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.