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Finding the Third Proportional to 12,877,072 and 27,289,418

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Solution

The third proportional to 12,877,072 and 27,289,418 is: 57,832,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,072 : 27,289,418 = 27,289,418 : x
  2. Step 2: Convert to fraction form
    12,877,072/27,289,418 = 27,289,418/x
  3. Step 3: Cross multiply
    12,877,072x = 27,289,418 × 27,289,418
  4. Step 4: Simplify right side
    12,877,072x = 744,712,334,778,724
  5. Step 5: Solve for x
    x = 744,712,334,778,724/12,877,072
  6. Step 6: Final answer
    x = 57,832,427.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.