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Finding the Third Proportional to 732,299,140.13 and 1,105,258,694.06

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Solution

The third proportional to 732,299,140.13 and 1,105,258,694.06 is: 1,668,166,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,299,140.13 : 1,105,258,694.06 = 1,105,258,694.06 : x
  2. Step 2: Convert to fraction form
    732,299,140.13/1,105,258,694.06 = 1,105,258,694.06/x
  3. Step 3: Cross multiply
    732,299,140.13x = 1,105,258,694.06 × 1,105,258,694.06
  4. Step 4: Simplify right side
    732,299,140.13x = 1,221,596,780,800,742,912
  5. Step 5: Solve for x
    x = 1,221,596,780,800,742,912/732,299,140.13
  6. Step 6: Final answer
    x = 1,668,166,346.05

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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.