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Finding the Third Proportional to 1,333,693,949,817 and 1,799,466,282,360

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Solution

The third proportional to 1,333,693,949,817 and 1,799,466,282,360 is: 2,427,902,519,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,693,949,817 : 1,799,466,282,360 = 1,799,466,282,360 : x
  2. Step 2: Convert to fraction form
    1,333,693,949,817/1,799,466,282,360 = 1,799,466,282,360/x
  3. Step 3: Cross multiply
    1,333,693,949,817x = 1,799,466,282,360 × 1,799,466,282,360
  4. Step 4: Simplify right side
    1,333,693,949,817x = 3,238,078,901,350,519,078,387,712
  5. Step 5: Solve for x
    x = 3,238,078,901,350,519,078,387,712/1,333,693,949,817
  6. Step 6: Final answer
    x = 2,427,902,519,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.