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Finding the Third Proportional to 37,173,986 and 78,778,468

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Solution

The third proportional to 37,173,986 and 78,778,468 is: 166,945,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,173,986 : 78,778,468 = 78,778,468 : x
  2. Step 2: Convert to fraction form
    37,173,986/78,778,468 = 78,778,468/x
  3. Step 3: Cross multiply
    37,173,986x = 78,778,468 × 78,778,468
  4. Step 4: Simplify right side
    37,173,986x = 6,206,047,020,427,024
  5. Step 5: Solve for x
    x = 6,206,047,020,427,024/37,173,986
  6. Step 6: Final answer
    x = 166,945,966.47

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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.