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Finding the Third Proportional to 872,517,438 and 1,909,217,556

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Solution

The third proportional to 872,517,438 and 1,909,217,556 is: 4,177,694,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,517,438 : 1,909,217,556 = 1,909,217,556 : x
  2. Step 2: Convert to fraction form
    872,517,438/1,909,217,556 = 1,909,217,556/x
  3. Step 3: Cross multiply
    872,517,438x = 1,909,217,556 × 1,909,217,556
  4. Step 4: Simplify right side
    872,517,438x = 3,645,111,676,138,613,248
  5. Step 5: Solve for x
    x = 3,645,111,676,138,613,248/872,517,438
  6. Step 6: Final answer
    x = 4,177,694,928.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.