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Finding the Third Proportional to 732,299,168 and 1,105,258,719

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Solution

The third proportional to 732,299,168 and 1,105,258,719 is: 1,668,166,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,299,168 : 1,105,258,719 = 1,105,258,719 : x
  2. Step 2: Convert to fraction form
    732,299,168/1,105,258,719 = 1,105,258,719/x
  3. Step 3: Cross multiply
    732,299,168x = 1,105,258,719 × 1,105,258,719
  4. Step 4: Simplify right side
    732,299,168x = 1,221,596,835,925,520,896
  5. Step 5: Solve for x
    x = 1,221,596,835,925,520,896/732,299,168
  6. Step 6: Final answer
    x = 1,668,166,357.83

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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.