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Finding the Third Proportional to 563,943,109 and 862,124,981

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Solution

The third proportional to 563,943,109 and 862,124,981 is: 1,317,968,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,943,109 : 862,124,981 = 862,124,981 : x
  2. Step 2: Convert to fraction form
    563,943,109/862,124,981 = 862,124,981/x
  3. Step 3: Cross multiply
    563,943,109x = 862,124,981 × 862,124,981
  4. Step 4: Simplify right side
    563,943,109x = 743,259,482,864,250,368
  5. Step 5: Solve for x
    x = 743,259,482,864,250,368/563,943,109
  6. Step 6: Final answer
    x = 1,317,968,906.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.