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Finding the Third Proportional to 127,342,464 and 272,854,848

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Solution

The third proportional to 127,342,464 and 272,854,848 is: 584,642,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,342,464 : 272,854,848 = 272,854,848 : x
  2. Step 2: Convert to fraction form
    127,342,464/272,854,848 = 272,854,848/x
  3. Step 3: Cross multiply
    127,342,464x = 272,854,848 × 272,854,848
  4. Step 4: Simplify right side
    127,342,464x = 74,449,768,077,103,104
  5. Step 5: Solve for x
    x = 74,449,768,077,103,104/127,342,464
  6. Step 6: Final answer
    x = 584,642,119.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.