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Finding the Third Proportional to 942,587,943.75 and 2,000,073,123

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Solution

The third proportional to 942,587,943.75 and 2,000,073,123 is: 4,243,946,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,587,943.75 : 2,000,073,123 = 2,000,073,123 : x
  2. Step 2: Convert to fraction form
    942,587,943.75/2,000,073,123 = 2,000,073,123/x
  3. Step 3: Cross multiply
    942,587,943.75x = 2,000,073,123 × 2,000,073,123
  4. Step 4: Simplify right side
    942,587,943.75x = 4,000,292,497,346,973,184
  5. Step 5: Solve for x
    x = 4,000,292,497,346,973,184/942,587,943.75
  6. Step 6: Final answer
    x = 4,243,946,173.80

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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.