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Finding the Third Proportional to 11,571,862,112 and 25,116,433,216

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Solution

The third proportional to 11,571,862,112 and 25,116,433,216 is: 54,514,581,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571,862,112 : 25,116,433,216 = 25,116,433,216 : x
  2. Step 2: Convert to fraction form
    11,571,862,112/25,116,433,216 = 25,116,433,216/x
  3. Step 3: Cross multiply
    11,571,862,112x = 25,116,433,216 × 25,116,433,216
  4. Step 4: Simplify right side
    11,571,862,112x = 630,835,217,493,788,065,792
  5. Step 5: Solve for x
    x = 630,835,217,493,788,065,792/11,571,862,112
  6. Step 6: Final answer
    x = 54,514,581,265.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.