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Finding the Third Proportional to 1,873,391,866,584 and 2,527,645,501,386

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Solution

The third proportional to 1,873,391,866,584 and 2,527,645,501,386 is: 3,410,387,273,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,391,866,584 : 2,527,645,501,386 = 2,527,645,501,386 : x
  2. Step 2: Convert to fraction form
    1,873,391,866,584/2,527,645,501,386 = 2,527,645,501,386/x
  3. Step 3: Cross multiply
    1,873,391,866,584x = 2,527,645,501,386 × 2,527,645,501,386
  4. Step 4: Simplify right side
    1,873,391,866,584x = 6,388,991,780,676,883,735,117,824
  5. Step 5: Solve for x
    x = 6,388,991,780,676,883,735,117,824/1,873,391,866,584
  6. Step 6: Final answer
    x = 3,410,387,273,820.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.