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Finding the Third Proportional to 37,548,090 and 77,973,840

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Solution

The third proportional to 37,548,090 and 77,973,840 is: 161,923,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548,090 : 77,973,840 = 77,973,840 : x
  2. Step 2: Convert to fraction form
    37,548,090/77,973,840 = 77,973,840/x
  3. Step 3: Cross multiply
    37,548,090x = 77,973,840 × 77,973,840
  4. Step 4: Simplify right side
    37,548,090x = 6,079,919,724,345,600
  5. Step 5: Solve for x
    x = 6,079,919,724,345,600/37,548,090
  6. Step 6: Final answer
    x = 161,923,541.90

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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.