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Finding the Third Proportional to 1,935,158,856 and 2,988,287,292

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Solution

The third proportional to 1,935,158,856 and 2,988,287,292 is: 4,614,536,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,158,856 : 2,988,287,292 = 2,988,287,292 : x
  2. Step 2: Convert to fraction form
    1,935,158,856/2,988,287,292 = 2,988,287,292/x
  3. Step 3: Cross multiply
    1,935,158,856x = 2,988,287,292 × 2,988,287,292
  4. Step 4: Simplify right side
    1,935,158,856x = 8,929,860,939,528,693,760
  5. Step 5: Solve for x
    x = 8,929,860,939,528,693,760/1,935,158,856
  6. Step 6: Final answer
    x = 4,614,536,378.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.