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Finding the Third Proportional to 552,917,536 and 1,187,890,641

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Solution

The third proportional to 552,917,536 and 1,187,890,641 is: 2,552,069,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,917,536 : 1,187,890,641 = 1,187,890,641 : x
  2. Step 2: Convert to fraction form
    552,917,536/1,187,890,641 = 1,187,890,641/x
  3. Step 3: Cross multiply
    552,917,536x = 1,187,890,641 × 1,187,890,641
  4. Step 4: Simplify right side
    552,917,536x = 1,411,084,174,975,390,976
  5. Step 5: Solve for x
    x = 1,411,084,174,975,390,976/552,917,536
  6. Step 6: Final answer
    x = 2,552,069,853.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.