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Finding the Third Proportional to 807,656,854.50 and 1,756,823,548.50

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Solution

The third proportional to 807,656,854.50 and 1,756,823,548.50 is: 3,821,460,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,656,854.50 : 1,756,823,548.50 = 1,756,823,548.50 : x
  2. Step 2: Convert to fraction form
    807,656,854.50/1,756,823,548.50 = 1,756,823,548.50/x
  3. Step 3: Cross multiply
    807,656,854.50x = 1,756,823,548.50 × 1,756,823,548.50
  4. Step 4: Simplify right side
    807,656,854.50x = 3,086,428,980,564,131,840
  5. Step 5: Solve for x
    x = 3,086,428,980,564,131,840/807,656,854.50
  6. Step 6: Final answer
    x = 3,821,460,764.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.