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Finding the Third Proportional to 564,294,890.25 and 871,603,405.88

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Solution

The third proportional to 564,294,890.25 and 871,603,405.88 is: 1,346,268,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,294,890.25 : 871,603,405.88 = 871,603,405.88 : x
  2. Step 2: Convert to fraction form
    564,294,890.25/871,603,405.88 = 871,603,405.88/x
  3. Step 3: Cross multiply
    564,294,890.25x = 871,603,405.88 × 871,603,405.88
  4. Step 4: Simplify right side
    564,294,890.25x = 759,692,497,132,899,968
  5. Step 5: Solve for x
    x = 759,692,497,132,899,968/564,294,890.25
  6. Step 6: Final answer
    x = 1,346,268,609.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.