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Finding the Third Proportional to 663,269,346.28 and 1,419,712,274.53

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Solution

The third proportional to 663,269,346.28 and 1,419,712,274.53 is: 3,038,860,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,269,346.28 : 1,419,712,274.53 = 1,419,712,274.53 : x
  2. Step 2: Convert to fraction form
    663,269,346.28/1,419,712,274.53 = 1,419,712,274.53/x
  3. Step 3: Cross multiply
    663,269,346.28x = 1,419,712,274.53 × 1,419,712,274.53
  4. Step 4: Simplify right side
    663,269,346.28x = 2,015,582,942,454,553,088
  5. Step 5: Solve for x
    x = 2,015,582,942,454,553,088/663,269,346.28
  6. Step 6: Final answer
    x = 3,038,860,387.19

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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.