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Finding the Third Proportional to 37,173,984 and 78,778,464

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Solution

The third proportional to 37,173,984 and 78,778,464 is: 166,945,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,173,984 : 78,778,464 = 78,778,464 : x
  2. Step 2: Convert to fraction form
    37,173,984/78,778,464 = 78,778,464/x
  3. Step 3: Cross multiply
    37,173,984x = 78,778,464 × 78,778,464
  4. Step 4: Simplify right side
    37,173,984x = 6,206,046,390,199,296
  5. Step 5: Solve for x
    x = 6,206,046,390,199,296/37,173,984
  6. Step 6: Final answer
    x = 166,945,958.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.