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Finding the Third Proportional to 267,935,142 and 574,637,820

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Solution

The third proportional to 267,935,142 and 574,637,820 is: 1,232,419,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,935,142 : 574,637,820 = 574,637,820 : x
  2. Step 2: Convert to fraction form
    267,935,142/574,637,820 = 574,637,820/x
  3. Step 3: Cross multiply
    267,935,142x = 574,637,820 × 574,637,820
  4. Step 4: Simplify right side
    267,935,142x = 330,208,624,174,352,384
  5. Step 5: Solve for x
    x = 330,208,624,174,352,384/267,935,142
  6. Step 6: Final answer
    x = 1,232,419,986.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.