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Finding the Third Proportional to 27,549,110,443,404 and 59,186,597,559,284

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Solution

The third proportional to 27,549,110,443,404 and 59,186,597,559,284 is: 127,156,676,722,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549,110,443,404 : 59,186,597,559,284 = 59,186,597,559,284 : x
  2. Step 2: Convert to fraction form
    27,549,110,443,404/59,186,597,559,284 = 59,186,597,559,284/x
  3. Step 3: Cross multiply
    27,549,110,443,404x = 59,186,597,559,284 × 59,186,597,559,284
  4. Step 4: Simplify right side
    27,549,110,443,404x = 3,503,053,330,644,642,933,243,904,000
  5. Step 5: Solve for x
    x = 3,503,053,330,644,642,933,243,904,000/27,549,110,443,404
  6. Step 6: Final answer
    x = 127,156,676,722,509.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.