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Finding the Third Proportional to 857,174,042 and 1,860,474,244

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Solution

The third proportional to 857,174,042 and 1,860,474,244 is: 4,038,111,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,174,042 : 1,860,474,244 = 1,860,474,244 : x
  2. Step 2: Convert to fraction form
    857,174,042/1,860,474,244 = 1,860,474,244/x
  3. Step 3: Cross multiply
    857,174,042x = 1,860,474,244 × 1,860,474,244
  4. Step 4: Simplify right side
    857,174,042x = 3,461,364,412,587,371,520
  5. Step 5: Solve for x
    x = 3,461,364,412,587,371,520/857,174,042
  6. Step 6: Final answer
    x = 4,038,111,565.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.