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Finding the Third Proportional to 511,805,570 and 1,105,164,124

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Solution

The third proportional to 511,805,570 and 1,105,164,124 is: 2,386,429,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,805,570 : 1,105,164,124 = 1,105,164,124 : x
  2. Step 2: Convert to fraction form
    511,805,570/1,105,164,124 = 1,105,164,124/x
  3. Step 3: Cross multiply
    511,805,570x = 1,105,164,124 × 1,105,164,124
  4. Step 4: Simplify right side
    511,805,570x = 1,221,387,740,976,687,360
  5. Step 5: Solve for x
    x = 1,221,387,740,976,687,360/511,805,570
  6. Step 6: Final answer
    x = 2,386,429,168.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.