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Finding the Third Proportional to 542,294,644 and 763,670,357

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Solution

The third proportional to 542,294,644 and 763,670,357 is: 1,075,416,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,294,644 : 763,670,357 = 763,670,357 : x
  2. Step 2: Convert to fraction form
    542,294,644/763,670,357 = 763,670,357/x
  3. Step 3: Cross multiply
    542,294,644x = 763,670,357 × 763,670,357
  4. Step 4: Simplify right side
    542,294,644x = 583,192,414,160,507,392
  5. Step 5: Solve for x
    x = 583,192,414,160,507,392/542,294,644
  6. Step 6: Final answer
    x = 1,075,416,142.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.