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Finding the Third Proportional to 34,031,275.50 and 74,675,053.50

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Solution

The third proportional to 34,031,275.50 and 74,675,053.50 is: 163,859,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031,275.50 : 74,675,053.50 = 74,675,053.50 : x
  2. Step 2: Convert to fraction form
    34,031,275.50/74,675,053.50 = 74,675,053.50/x
  3. Step 3: Cross multiply
    34,031,275.50x = 74,675,053.50 × 74,675,053.50
  4. Step 4: Simplify right side
    34,031,275.50x = 5,576,363,615,227,862
  5. Step 5: Solve for x
    x = 5,576,363,615,227,862/34,031,275.50
  6. Step 6: Final answer
    x = 163,859,965.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.