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Finding the Third Proportional to 27,000,272 and 59,129,248

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Solution

The third proportional to 27,000,272 and 59,129,248 is: 129,490,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,000,272 : 59,129,248 = 59,129,248 : x
  2. Step 2: Convert to fraction form
    27,000,272/59,129,248 = 59,129,248/x
  3. Step 3: Cross multiply
    27,000,272x = 59,129,248 × 59,129,248
  4. Step 4: Simplify right side
    27,000,272x = 3,496,267,969,045,504
  5. Step 5: Solve for x
    x = 3,496,267,969,045,504/27,000,272
  6. Step 6: Final answer
    x = 129,490,101.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.