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Finding the Third Proportional to 37,462,257 and 75,957,952.50

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Solution

The third proportional to 37,462,257 and 75,957,952.50 is: 154,011,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,462,257 : 75,957,952.50 = 75,957,952.50 : x
  2. Step 2: Convert to fraction form
    37,462,257/75,957,952.50 = 75,957,952.50/x
  3. Step 3: Cross multiply
    37,462,257x = 75,957,952.50 × 75,957,952.50
  4. Step 4: Simplify right side
    37,462,257x = 5,769,610,547,992,256
  5. Step 5: Solve for x
    x = 5,769,610,547,992,256/37,462,257
  6. Step 6: Final answer
    x = 154,011,290.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.