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Finding the Third Proportional to 1,873,391,866,554 and 2,527,645,501,341

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Solution

The third proportional to 1,873,391,866,554 and 2,527,645,501,341 is: 3,410,387,273,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,391,866,554 : 2,527,645,501,341 = 2,527,645,501,341 : x
  2. Step 2: Convert to fraction form
    1,873,391,866,554/2,527,645,501,341 = 2,527,645,501,341/x
  3. Step 3: Cross multiply
    1,873,391,866,554x = 2,527,645,501,341 × 2,527,645,501,341
  4. Step 4: Simplify right side
    1,873,391,866,554x = 6,388,991,780,449,395,423,576,064
  5. Step 5: Solve for x
    x = 6,388,991,780,449,395,423,576,064/1,873,391,866,554
  6. Step 6: Final answer
    x = 3,410,387,273,753.67

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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.