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Finding the Third Proportional to 291,314,541 and 624,181,082

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Solution

The third proportional to 291,314,541 and 624,181,082 is: 1,337,392,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,541 : 624,181,082 = 624,181,082 : x
  2. Step 2: Convert to fraction form
    291,314,541/624,181,082 = 624,181,082/x
  3. Step 3: Cross multiply
    291,314,541x = 624,181,082 × 624,181,082
  4. Step 4: Simplify right side
    291,314,541x = 389,602,023,126,690,752
  5. Step 5: Solve for x
    x = 389,602,023,126,690,752/291,314,541
  6. Step 6: Final answer
    x = 1,337,392,983.51

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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.