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Finding the Third Proportional to 9,050,585,073 and 19,484,381,283

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Solution

The third proportional to 9,050,585,073 and 19,484,381,283 is: 41,946,582,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050,585,073 : 19,484,381,283 = 19,484,381,283 : x
  2. Step 2: Convert to fraction form
    9,050,585,073/19,484,381,283 = 19,484,381,283/x
  3. Step 3: Cross multiply
    9,050,585,073x = 19,484,381,283 × 19,484,381,283
  4. Step 4: Simplify right side
    9,050,585,073x = 379,641,113,981,320,757,248
  5. Step 5: Solve for x
    x = 379,641,113,981,320,757,248/9,050,585,073
  6. Step 6: Final answer
    x = 41,946,582,560.05

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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.