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Finding the Third Proportional to 54,547,128 and 121,202,136

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Solution

The third proportional to 54,547,128 and 121,202,136 is: 269,307,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,547,128 : 121,202,136 = 121,202,136 : x
  2. Step 2: Convert to fraction form
    54,547,128/121,202,136 = 121,202,136/x
  3. Step 3: Cross multiply
    54,547,128x = 121,202,136 × 121,202,136
  4. Step 4: Simplify right side
    54,547,128x = 14,689,957,770,962,496
  5. Step 5: Solve for x
    x = 14,689,957,770,962,496/54,547,128
  6. Step 6: Final answer
    x = 269,307,630.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.