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Finding the Third Proportional to 564,759,152 and 825,465,012

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Solution

The third proportional to 564,759,152 and 825,465,012 is: 1,206,518,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,759,152 : 825,465,012 = 825,465,012 : x
  2. Step 2: Convert to fraction form
    564,759,152/825,465,012 = 825,465,012/x
  3. Step 3: Cross multiply
    564,759,152x = 825,465,012 × 825,465,012
  4. Step 4: Simplify right side
    564,759,152x = 681,392,486,036,160,128
  5. Step 5: Solve for x
    x = 681,392,486,036,160,128/564,759,152
  6. Step 6: Final answer
    x = 1,206,518,714.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.