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Finding the Third Proportional to 8,180,007 and 12,683,397

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Solution

The third proportional to 8,180,007 and 12,683,397 is: 19,666,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180,007 : 12,683,397 = 12,683,397 : x
  2. Step 2: Convert to fraction form
    8,180,007/12,683,397 = 12,683,397/x
  3. Step 3: Cross multiply
    8,180,007x = 12,683,397 × 12,683,397
  4. Step 4: Simplify right side
    8,180,007x = 160,868,559,459,609
  5. Step 5: Solve for x
    x = 160,868,559,459,609/8,180,007
  6. Step 6: Final answer
    x = 19,666,066.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.