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Finding the Third Proportional to 31,506,338 and 47,206,947

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Solution

The third proportional to 31,506,338 and 47,206,947 is: 70,731,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506,338 : 47,206,947 = 47,206,947 : x
  2. Step 2: Convert to fraction form
    31,506,338/47,206,947 = 47,206,947/x
  3. Step 3: Cross multiply
    31,506,338x = 47,206,947 × 47,206,947
  4. Step 4: Simplify right side
    31,506,338x = 2,228,495,845,060,809
  5. Step 5: Solve for x
    x = 2,228,495,845,060,809/31,506,338
  6. Step 6: Final answer
    x = 70,731,668.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.