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Finding the Third Proportional to 27,482,912 and 59,701,408

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Solution

The third proportional to 27,482,912 and 59,701,408 is: 129,689,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482,912 : 59,701,408 = 59,701,408 : x
  2. Step 2: Convert to fraction form
    27,482,912/59,701,408 = 59,701,408/x
  3. Step 3: Cross multiply
    27,482,912x = 59,701,408 × 59,701,408
  4. Step 4: Simplify right side
    27,482,912x = 3,564,258,117,182,464
  5. Step 5: Solve for x
    x = 3,564,258,117,182,464/27,482,912
  6. Step 6: Final answer
    x = 129,689,973.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.