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Finding the Third Proportional to 1,464,597,553 and 2,210,516,571

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Solution

The third proportional to 1,464,597,553 and 2,210,516,571 is: 3,336,331,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,597,553 : 2,210,516,571 = 2,210,516,571 : x
  2. Step 2: Convert to fraction form
    1,464,597,553/2,210,516,571 = 2,210,516,571/x
  3. Step 3: Cross multiply
    1,464,597,553x = 2,210,516,571 × 2,210,516,571
  4. Step 4: Simplify right side
    1,464,597,553x = 4,886,383,510,665,597,952
  5. Step 5: Solve for x
    x = 4,886,383,510,665,597,952/1,464,597,553
  6. Step 6: Final answer
    x = 3,336,331,882.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.