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Finding the Third Proportional to 917,199,258,664 and 1,995,431,330,487

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Solution

The third proportional to 917,199,258,664 and 1,995,431,330,487 is: 4,341,200,842,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,664 : 1,995,431,330,487 = 1,995,431,330,487 : x
  2. Step 2: Convert to fraction form
    917,199,258,664/1,995,431,330,487 = 1,995,431,330,487/x
  3. Step 3: Cross multiply
    917,199,258,664x = 1,995,431,330,487 × 1,995,431,330,487
  4. Step 4: Simplify right side
    917,199,258,664x = 3,981,746,194,689,118,812,766,208
  5. Step 5: Solve for x
    x = 3,981,746,194,689,118,812,766,208/917,199,258,664
  6. Step 6: Final answer
    x = 4,341,200,842,757.95

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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.