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Finding the Third Proportional to 1,791,665,810 and 2,781,829,516

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Solution

The third proportional to 1,791,665,810 and 2,781,829,516 is: 4,319,206,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,665,810 : 2,781,829,516 = 2,781,829,516 : x
  2. Step 2: Convert to fraction form
    1,791,665,810/2,781,829,516 = 2,781,829,516/x
  3. Step 3: Cross multiply
    1,791,665,810x = 2,781,829,516 × 2,781,829,516
  4. Step 4: Simplify right side
    1,791,665,810x = 7,738,575,456,088,794,112
  5. Step 5: Solve for x
    x = 7,738,575,456,088,794,112/1,791,665,810
  6. Step 6: Final answer
    x = 4,319,206,970.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.