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Finding the Third Proportional to 23,298,566 and 34,745,806.75

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Solution

The third proportional to 23,298,566 and 34,745,806.75 is: 51,817,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298,566 : 34,745,806.75 = 34,745,806.75 : x
  2. Step 2: Convert to fraction form
    23,298,566/34,745,806.75 = 34,745,806.75/x
  3. Step 3: Cross multiply
    23,298,566x = 34,745,806.75 × 34,745,806.75
  4. Step 4: Simplify right side
    23,298,566x = 1,207,271,086,708,345.50
  5. Step 5: Solve for x
    x = 1,207,271,086,708,345.50/23,298,566
  6. Step 6: Final answer
    x = 51,817,398.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.