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Finding the Third Proportional to 29,912,001,785 and 64,599,929,974

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Solution

The third proportional to 29,912,001,785 and 64,599,929,974 is: 139,514,265,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912,001,785 : 64,599,929,974 = 64,599,929,974 : x
  2. Step 2: Convert to fraction form
    29,912,001,785/64,599,929,974 = 64,599,929,974/x
  3. Step 3: Cross multiply
    29,912,001,785x = 64,599,929,974 × 64,599,929,974
  4. Step 4: Simplify right side
    29,912,001,785x = 4,173,150,952,645,703,761,920
  5. Step 5: Solve for x
    x = 4,173,150,952,645,703,761,920/29,912,001,785
  6. Step 6: Final answer
    x = 139,514,265,298.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.