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Finding the Third Proportional to 12,346,164 and 27,136,440

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Solution

The third proportional to 12,346,164 and 27,136,440 is: 59,644,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346,164 : 27,136,440 = 27,136,440 : x
  2. Step 2: Convert to fraction form
    12,346,164/27,136,440 = 27,136,440/x
  3. Step 3: Cross multiply
    12,346,164x = 27,136,440 × 27,136,440
  4. Step 4: Simplify right side
    12,346,164x = 736,386,375,873,600
  5. Step 5: Solve for x
    x = 736,386,375,873,600/12,346,164
  6. Step 6: Final answer
    x = 59,644,953.35

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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.