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Finding the Third Proportional to 2,472,440,358 and 5,239,653,324

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Solution

The third proportional to 2,472,440,358 and 5,239,653,324 is: 11,103,995,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,440,358 : 5,239,653,324 = 5,239,653,324 : x
  2. Step 2: Convert to fraction form
    2,472,440,358/5,239,653,324 = 5,239,653,324/x
  3. Step 3: Cross multiply
    2,472,440,358x = 5,239,653,324 × 5,239,653,324
  4. Step 4: Simplify right side
    2,472,440,358x = 27,453,966,955,704,250,368
  5. Step 5: Solve for x
    x = 27,453,966,955,704,250,368/2,472,440,358
  6. Step 6: Final answer
    x = 11,103,995,640.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.