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Finding the Third Proportional to 615,104,616 and 1,347,047,496

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Solution

The third proportional to 615,104,616 and 1,347,047,496 is: 2,949,964,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,104,616 : 1,347,047,496 = 1,347,047,496 : x
  2. Step 2: Convert to fraction form
    615,104,616/1,347,047,496 = 1,347,047,496/x
  3. Step 3: Cross multiply
    615,104,616x = 1,347,047,496 × 1,347,047,496
  4. Step 4: Simplify right side
    615,104,616x = 1,814,536,956,479,869,952
  5. Step 5: Solve for x
    x = 1,814,536,956,479,869,952/615,104,616
  6. Step 6: Final answer
    x = 2,949,964,785.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.