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Finding the Third Proportional to 1,258,236,540 and 2,758,337,784

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Solution

The third proportional to 1,258,236,540 and 2,758,337,784 is: 6,046,897,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,236,540 : 2,758,337,784 = 2,758,337,784 : x
  2. Step 2: Convert to fraction form
    1,258,236,540/2,758,337,784 = 2,758,337,784/x
  3. Step 3: Cross multiply
    1,258,236,540x = 2,758,337,784 × 2,758,337,784
  4. Step 4: Simplify right side
    1,258,236,540x = 7,608,427,330,642,030,592
  5. Step 5: Solve for x
    x = 7,608,427,330,642,030,592/1,258,236,540
  6. Step 6: Final answer
    x = 6,046,897,454.31

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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.