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Finding the Third Proportional to 649,400,258 and 1,417,835,839

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Solution

The third proportional to 649,400,258 and 1,417,835,839 is: 3,095,561,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,400,258 : 1,417,835,839 = 1,417,835,839 : x
  2. Step 2: Convert to fraction form
    649,400,258/1,417,835,839 = 1,417,835,839/x
  3. Step 3: Cross multiply
    649,400,258x = 1,417,835,839 × 1,417,835,839
  4. Step 4: Simplify right side
    649,400,258x = 2,010,258,466,352,834,048
  5. Step 5: Solve for x
    x = 2,010,258,466,352,834,048/649,400,258
  6. Step 6: Final answer
    x = 3,095,561,545.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.