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Finding the Third Proportional to 37,832,500.50 and 78,684,418.50

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Solution

The third proportional to 37,832,500.50 and 78,684,418.50 is: 163,648,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832,500.50 : 78,684,418.50 = 78,684,418.50 : x
  2. Step 2: Convert to fraction form
    37,832,500.50/78,684,418.50 = 78,684,418.50/x
  3. Step 3: Cross multiply
    37,832,500.50x = 78,684,418.50 × 78,684,418.50
  4. Step 4: Simplify right side
    37,832,500.50x = 6,191,237,714,683,142
  5. Step 5: Solve for x
    x = 6,191,237,714,683,142/37,832,500.50
  6. Step 6: Final answer
    x = 163,648,652.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.