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Finding the Third Proportional to 488,199,408.19 and 736,839,096.47

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Solution

The third proportional to 488,199,408.19 and 736,839,096.47 is: 1,112,110,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,199,408.19 : 736,839,096.47 = 736,839,096.47 : x
  2. Step 2: Convert to fraction form
    488,199,408.19/736,839,096.47 = 736,839,096.47/x
  3. Step 3: Cross multiply
    488,199,408.19x = 736,839,096.47 × 736,839,096.47
  4. Step 4: Simplify right side
    488,199,408.19x = 542,931,854,084,898,624
  5. Step 5: Solve for x
    x = 542,931,854,084,898,624/488,199,408.19
  6. Step 6: Final answer
    x = 1,112,110,840.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.