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Finding the Third Proportional to 47,764,071 and 103,637,538

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Solution

The third proportional to 47,764,071 and 103,637,538 is: 224,870,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,071 : 103,637,538 = 103,637,538 : x
  2. Step 2: Convert to fraction form
    47,764,071/103,637,538 = 103,637,538/x
  3. Step 3: Cross multiply
    47,764,071x = 103,637,538 × 103,637,538
  4. Step 4: Simplify right side
    47,764,071x = 10,740,739,282,701,444
  5. Step 5: Solve for x
    x = 10,740,739,282,701,444/47,764,071
  6. Step 6: Final answer
    x = 224,870,683.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.