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Finding the Third Proportional to 2,867,988,442 and 6,171,825,070

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Solution

The third proportional to 2,867,988,442 and 6,171,825,070 is: 13,281,582,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867,988,442 : 6,171,825,070 = 6,171,825,070 : x
  2. Step 2: Convert to fraction form
    2,867,988,442/6,171,825,070 = 6,171,825,070/x
  3. Step 3: Cross multiply
    2,867,988,442x = 6,171,825,070 × 6,171,825,070
  4. Step 4: Simplify right side
    2,867,988,442x = 38,091,424,694,680,502,272
  5. Step 5: Solve for x
    x = 38,091,424,694,680,502,272/2,867,988,442
  6. Step 6: Final answer
    x = 13,281,582,358.16

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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.