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Finding the Third Proportional to 732,299,135 and 1,105,258,677

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Solution

The third proportional to 732,299,135 and 1,105,258,677 is: 1,668,166,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,299,135 : 1,105,258,677 = 1,105,258,677 : x
  2. Step 2: Convert to fraction form
    732,299,135/1,105,258,677 = 1,105,258,677/x
  3. Step 3: Cross multiply
    732,299,135x = 1,105,258,677 × 1,105,258,677
  4. Step 4: Simplify right side
    732,299,135x = 1,221,596,743,083,790,336
  5. Step 5: Solve for x
    x = 1,221,596,743,083,790,336/732,299,135
  6. Step 6: Final answer
    x = 1,668,166,306.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.