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Finding the Third Proportional to 942,587,913 and 2,000,073,060

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Solution

The third proportional to 942,587,913 and 2,000,073,060 is: 4,243,946,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,587,913 : 2,000,073,060 = 2,000,073,060 : x
  2. Step 2: Convert to fraction form
    942,587,913/2,000,073,060 = 2,000,073,060/x
  3. Step 3: Cross multiply
    942,587,913x = 2,000,073,060 × 2,000,073,060
  4. Step 4: Simplify right side
    942,587,913x = 4,000,292,245,337,763,840
  5. Step 5: Solve for x
    x = 4,000,292,245,337,763,840/942,587,913
  6. Step 6: Final answer
    x = 4,243,946,044.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.