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Finding the Third Proportional to 4,656,411 and 6,955,947

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Solution

The third proportional to 4,656,411 and 6,955,947 is: 10,391,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656,411 : 6,955,947 = 6,955,947 : x
  2. Step 2: Convert to fraction form
    4,656,411/6,955,947 = 6,955,947/x
  3. Step 3: Cross multiply
    4,656,411x = 6,955,947 × 6,955,947
  4. Step 4: Simplify right side
    4,656,411x = 48,385,198,666,809
  5. Step 5: Solve for x
    x = 48,385,198,666,809/4,656,411
  6. Step 6: Final answer
    x = 10,391,092.77

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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.