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Finding the Third Proportional to 1,241,724,732 and 2,703,899,070

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Solution

The third proportional to 1,241,724,732 and 2,703,899,070 is: 5,887,834,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,724,732 : 2,703,899,070 = 2,703,899,070 : x
  2. Step 2: Convert to fraction form
    1,241,724,732/2,703,899,070 = 2,703,899,070/x
  3. Step 3: Cross multiply
    1,241,724,732x = 2,703,899,070 × 2,703,899,070
  4. Step 4: Simplify right side
    1,241,724,732x = 7,311,070,180,746,864,640
  5. Step 5: Solve for x
    x = 7,311,070,180,746,864,640/1,241,724,732
  6. Step 6: Final answer
    x = 5,887,834,873.81

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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.