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Finding the Third Proportional to 34,124,178 and 73,031,325.75

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Solution

The third proportional to 34,124,178 and 73,031,325.75 is: 156,298,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,124,178 : 73,031,325.75 = 73,031,325.75 : x
  2. Step 2: Convert to fraction form
    34,124,178/73,031,325.75 = 73,031,325.75/x
  3. Step 3: Cross multiply
    34,124,178x = 73,031,325.75 × 73,031,325.75
  4. Step 4: Simplify right side
    34,124,178x = 5,333,574,540,802,613
  5. Step 5: Solve for x
    x = 5,333,574,540,802,613/34,124,178
  6. Step 6: Final answer
    x = 156,298,989.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.