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Finding the Third Proportional to 443,217,131,643 and 898,767,297,690

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Solution

The third proportional to 443,217,131,643 and 898,767,297,690 is: 1,822,543,845,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,217,131,643 : 898,767,297,690 = 898,767,297,690 : x
  2. Step 2: Convert to fraction form
    443,217,131,643/898,767,297,690 = 898,767,297,690/x
  3. Step 3: Cross multiply
    443,217,131,643x = 898,767,297,690 × 898,767,297,690
  4. Step 4: Simplify right side
    443,217,131,643x = 807,782,655,396,985,073,303,552
  5. Step 5: Solve for x
    x = 807,782,655,396,985,073,303,552/443,217,131,643
  6. Step 6: Final answer
    x = 1,822,543,845,276.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.