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Finding the Third Proportional to 47,327,978.53 and 70,803,339.05

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Solution

The third proportional to 47,327,978.53 and 70,803,339.05 is: 105,922,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,327,978.53 : 70,803,339.05 = 70,803,339.05 : x
  2. Step 2: Convert to fraction form
    47,327,978.53/70,803,339.05 = 70,803,339.05/x
  3. Step 3: Cross multiply
    47,327,978.53x = 70,803,339.05 × 70,803,339.05
  4. Step 4: Simplify right side
    47,327,978.53x = 5,013,112,820,186,734
  5. Step 5: Solve for x
    x = 5,013,112,820,186,734/47,327,978.53
  6. Step 6: Final answer
    x = 105,922,817.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.