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Finding the Third Proportional to 7,326,294 and 10,769,970

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Solution

The third proportional to 7,326,294 and 10,769,970 is: 15,832,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326,294 : 10,769,970 = 10,769,970 : x
  2. Step 2: Convert to fraction form
    7,326,294/10,769,970 = 10,769,970/x
  3. Step 3: Cross multiply
    7,326,294x = 10,769,970 × 10,769,970
  4. Step 4: Simplify right side
    7,326,294x = 115,992,253,800,900
  5. Step 5: Solve for x
    x = 115,992,253,800,900/7,326,294
  6. Step 6: Final answer
    x = 15,832,323.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.