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Finding the Third Proportional to 663,269,356.13 and 1,419,712,293.75

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Solution

The third proportional to 663,269,356.13 and 1,419,712,293.75 is: 3,038,860,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,269,356.13 : 1,419,712,293.75 = 1,419,712,293.75 : x
  2. Step 2: Convert to fraction form
    663,269,356.13/1,419,712,293.75 = 1,419,712,293.75/x
  3. Step 3: Cross multiply
    663,269,356.13x = 1,419,712,293.75 × 1,419,712,293.75
  4. Step 4: Simplify right side
    663,269,356.13x = 2,015,582,997,024,886,272
  5. Step 5: Solve for x
    x = 2,015,582,997,024,886,272/663,269,356.13
  6. Step 6: Final answer
    x = 3,038,860,424.37

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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.