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Finding the Third Proportional to 18,644,013,256 and 39,947,357,264

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Solution

The third proportional to 18,644,013,256 and 39,947,357,264 is: 85,592,695,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644,013,256 : 39,947,357,264 = 39,947,357,264 : x
  2. Step 2: Convert to fraction form
    18,644,013,256/39,947,357,264 = 39,947,357,264/x
  3. Step 3: Cross multiply
    18,644,013,256x = 39,947,357,264 × 39,947,357,264
  4. Step 4: Simplify right side
    18,644,013,256x = 1,595,791,352,377,653,592,064
  5. Step 5: Solve for x
    x = 1,595,791,352,377,653,592,064/18,644,013,256
  6. Step 6: Final answer
    x = 85,592,695,653.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.