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Finding the Third Proportional to 35,981,421.75 and 77,707,890

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Solution

The third proportional to 35,981,421.75 and 77,707,890 is: 167,823,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981,421.75 : 77,707,890 = 77,707,890 : x
  2. Step 2: Convert to fraction form
    35,981,421.75/77,707,890 = 77,707,890/x
  3. Step 3: Cross multiply
    35,981,421.75x = 77,707,890 × 77,707,890
  4. Step 4: Simplify right side
    35,981,421.75x = 6,038,516,168,252,100
  5. Step 5: Solve for x
    x = 6,038,516,168,252,100/35,981,421.75
  6. Step 6: Final answer
    x = 167,823,167.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.