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Finding the Third Proportional to 807,656,872 and 1,756,823,570

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Solution

The third proportional to 807,656,872 and 1,756,823,570 is: 3,821,460,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,656,872 : 1,756,823,570 = 1,756,823,570 : x
  2. Step 2: Convert to fraction form
    807,656,872/1,756,823,570 = 1,756,823,570/x
  3. Step 3: Cross multiply
    807,656,872x = 1,756,823,570 × 1,756,823,570
  4. Step 4: Simplify right side
    807,656,872x = 3,086,429,056,107,545,088
  5. Step 5: Solve for x
    x = 3,086,429,056,107,545,088/807,656,872
  6. Step 6: Final answer
    x = 3,821,460,775.12

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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.