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Finding the Third Proportional to 3,155,227,248 and 4,923,852,432

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Solution

The third proportional to 3,155,227,248 and 4,923,852,432 is: 7,683,859,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155,227,248 : 4,923,852,432 = 4,923,852,432 : x
  2. Step 2: Convert to fraction form
    3,155,227,248/4,923,852,432 = 4,923,852,432/x
  3. Step 3: Cross multiply
    3,155,227,248x = 4,923,852,432 × 4,923,852,432
  4. Step 4: Simplify right side
    3,155,227,248x = 24,244,322,772,112,314,368
  5. Step 5: Solve for x
    x = 24,244,322,772,112,314,368/3,155,227,248
  6. Step 6: Final answer
    x = 7,683,859,470.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.