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Finding the Third Proportional to 564,759,148 and 825,465,005

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Solution

The third proportional to 564,759,148 and 825,465,005 is: 1,206,518,702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,759,148 : 825,465,005 = 825,465,005 : x
  2. Step 2: Convert to fraction form
    564,759,148/825,465,005 = 825,465,005/x
  3. Step 3: Cross multiply
    564,759,148x = 825,465,005 × 825,465,005
  4. Step 4: Simplify right side
    564,759,148x = 681,392,474,479,650,048
  5. Step 5: Solve for x
    x = 681,392,474,479,650,048/564,759,148
  6. Step 6: Final answer
    x = 1,206,518,702.52

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