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Finding the Third Proportional to 9,397,323 and 14,953,113

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Solution

The third proportional to 9,397,323 and 14,953,113 is: 23,793,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397,323 : 14,953,113 = 14,953,113 : x
  2. Step 2: Convert to fraction form
    9,397,323/14,953,113 = 14,953,113/x
  3. Step 3: Cross multiply
    9,397,323x = 14,953,113 × 14,953,113
  4. Step 4: Simplify right side
    9,397,323x = 223,595,588,390,769
  5. Step 5: Solve for x
    x = 223,595,588,390,769/9,397,323
  6. Step 6: Final answer
    x = 23,793,540.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.