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Finding the Third Proportional to 12,957,287 and 29,996,913.50

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Solution

The third proportional to 12,957,287 and 29,996,913.50 is: 69,444,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957,287 : 29,996,913.50 = 29,996,913.50 : x
  2. Step 2: Convert to fraction form
    12,957,287/29,996,913.50 = 29,996,913.50/x
  3. Step 3: Cross multiply
    12,957,287x = 29,996,913.50 × 29,996,913.50
  4. Step 4: Simplify right side
    12,957,287x = 899,814,819,526,482.25
  5. Step 5: Solve for x
    x = 899,814,819,526,482.25/12,957,287
  6. Step 6: Final answer
    x = 69,444,693.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.