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Finding the Third Proportional to 807,655,306 and 1,756,819,233

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Solution

The third proportional to 807,655,306 and 1,756,819,233 is: 3,821,449,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,655,306 : 1,756,819,233 = 1,756,819,233 : x
  2. Step 2: Convert to fraction form
    807,655,306/1,756,819,233 = 1,756,819,233/x
  3. Step 3: Cross multiply
    807,655,306x = 1,756,819,233 × 1,756,819,233
  4. Step 4: Simplify right side
    807,655,306x = 3,086,413,817,438,708,224
  5. Step 5: Solve for x
    x = 3,086,413,817,438,708,224/807,655,306
  6. Step 6: Final answer
    x = 3,821,449,316.94

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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.