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Finding the Third Proportional to 1,241,724,735 and 2,703,899,076

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Solution

The third proportional to 1,241,724,735 and 2,703,899,076 is: 5,887,834,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,724,735 : 2,703,899,076 = 2,703,899,076 : x
  2. Step 2: Convert to fraction form
    1,241,724,735/2,703,899,076 = 2,703,899,076/x
  3. Step 3: Cross multiply
    1,241,724,735x = 2,703,899,076 × 2,703,899,076
  4. Step 4: Simplify right side
    1,241,724,735x = 7,311,070,213,193,654,272
  5. Step 5: Solve for x
    x = 7,311,070,213,193,654,272/1,241,724,735
  6. Step 6: Final answer
    x = 5,887,834,885.72

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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.