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Finding the Third Proportional to 3,110,167,946 and 6,854,287,188

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Solution

The third proportional to 3,110,167,946 and 6,854,287,188 is: 15,105,696,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110,167,946 : 6,854,287,188 = 6,854,287,188 : x
  2. Step 2: Convert to fraction form
    3,110,167,946/6,854,287,188 = 6,854,287,188/x
  3. Step 3: Cross multiply
    3,110,167,946x = 6,854,287,188 × 6,854,287,188
  4. Step 4: Simplify right side
    3,110,167,946x = 46,981,252,855,580,950,528
  5. Step 5: Solve for x
    x = 46,981,252,855,580,950,528/3,110,167,946
  6. Step 6: Final answer
    x = 15,105,696,435.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.