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Finding the Third Proportional to 14,575,969 and 31,897,730

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Solution

The third proportional to 14,575,969 and 31,897,730 is: 69,804,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575,969 : 31,897,730 = 31,897,730 : x
  2. Step 2: Convert to fraction form
    14,575,969/31,897,730 = 31,897,730/x
  3. Step 3: Cross multiply
    14,575,969x = 31,897,730 × 31,897,730
  4. Step 4: Simplify right side
    14,575,969x = 1,017,465,179,152,900
  5. Step 5: Solve for x
    x = 1,017,465,179,152,900/14,575,969
  6. Step 6: Final answer
    x = 69,804,290.83

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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.