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Finding the Third Proportional to 758,591,802 and 1,655,016,282

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Solution

The third proportional to 758,591,802 and 1,655,016,282 is: 3,610,741,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,591,802 : 1,655,016,282 = 1,655,016,282 : x
  2. Step 2: Convert to fraction form
    758,591,802/1,655,016,282 = 1,655,016,282/x
  3. Step 3: Cross multiply
    758,591,802x = 1,655,016,282 × 1,655,016,282
  4. Step 4: Simplify right side
    758,591,802x = 2,739,078,893,685,103,616
  5. Step 5: Solve for x
    x = 2,739,078,893,685,103,616/758,591,802
  6. Step 6: Final answer
    x = 3,610,741,490.30

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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.