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Finding the Third Proportional to 732,299,169 and 1,105,258,729.50

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Solution

The third proportional to 732,299,169 and 1,105,258,729.50 is: 1,668,166,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,299,169 : 1,105,258,729.50 = 1,105,258,729.50 : x
  2. Step 2: Convert to fraction form
    732,299,169/1,105,258,729.50 = 1,105,258,729.50/x
  3. Step 3: Cross multiply
    732,299,169x = 1,105,258,729.50 × 1,105,258,729.50
  4. Step 4: Simplify right side
    732,299,169x = 1,221,596,859,135,954,176
  5. Step 5: Solve for x
    x = 1,221,596,859,135,954,176/732,299,169
  6. Step 6: Final answer
    x = 1,668,166,387.25

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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.