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Finding the Third Proportional to 187,541,996,562 and 402,308,778,277

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Solution

The third proportional to 187,541,996,562 and 402,308,778,277 is: 863,019,249,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,541,996,562 : 402,308,778,277 = 402,308,778,277 : x
  2. Step 2: Convert to fraction form
    187,541,996,562/402,308,778,277 = 402,308,778,277/x
  3. Step 3: Cross multiply
    187,541,996,562x = 402,308,778,277 × 402,308,778,277
  4. Step 4: Simplify right side
    187,541,996,562x = 161,852,353,078,732,334,825,472
  5. Step 5: Solve for x
    x = 161,852,353,078,732,334,825,472/187,541,996,562
  6. Step 6: Final answer
    x = 863,019,249,265.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.