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Finding the Third Proportional to 621,570,729 and 932,127,853.50

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Solution

The third proportional to 621,570,729 and 932,127,853.50 is: 1,397,849,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,570,729 : 932,127,853.50 = 932,127,853.50 : x
  2. Step 2: Convert to fraction form
    621,570,729/932,127,853.50 = 932,127,853.50/x
  3. Step 3: Cross multiply
    621,570,729x = 932,127,853.50 × 932,127,853.50
  4. Step 4: Simplify right side
    621,570,729x = 868,862,335,270,517,504
  5. Step 5: Solve for x
    x = 868,862,335,270,517,504/621,570,729
  6. Step 6: Final answer
    x = 1,397,849,504.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.