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Finding the Third Proportional to 414,315,737.13 and 897,592,042.08

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Solution

The third proportional to 414,315,737.13 and 897,592,042.08 is: 1,944,583,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,315,737.13 : 897,592,042.08 = 897,592,042.08 : x
  2. Step 2: Convert to fraction form
    414,315,737.13/897,592,042.08 = 897,592,042.08/x
  3. Step 3: Cross multiply
    414,315,737.13x = 897,592,042.08 × 897,592,042.08
  4. Step 4: Simplify right side
    414,315,737.13x = 805,671,474,011,322,496
  5. Step 5: Solve for x
    x = 805,671,474,011,322,496/414,315,737.13
  6. Step 6: Final answer
    x = 1,944,583,325.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.