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Finding the Third Proportional to 264,854,769 and 570,187,602

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Solution

The third proportional to 264,854,769 and 570,187,602 is: 1,227,517,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,854,769 : 570,187,602 = 570,187,602 : x
  2. Step 2: Convert to fraction form
    264,854,769/570,187,602 = 570,187,602/x
  3. Step 3: Cross multiply
    264,854,769x = 570,187,602 × 570,187,602
  4. Step 4: Simplify right side
    264,854,769x = 325,113,901,474,510,400
  5. Step 5: Solve for x
    x = 325,113,901,474,510,400/264,854,769
  6. Step 6: Final answer
    x = 1,227,517,641.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.