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Finding the Third Proportional to 288,127,016 and 630,898,576

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Solution

The third proportional to 288,127,016 and 630,898,576 is: 1,381,449,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,127,016 : 630,898,576 = 630,898,576 : x
  2. Step 2: Convert to fraction form
    288,127,016/630,898,576 = 630,898,576/x
  3. Step 3: Cross multiply
    288,127,016x = 630,898,576 × 630,898,576
  4. Step 4: Simplify right side
    288,127,016x = 398,033,013,198,827,776
  5. Step 5: Solve for x
    x = 398,033,013,198,827,776/288,127,016
  6. Step 6: Final answer
    x = 1,381,449,815.86

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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.