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Finding the Third Proportional to 563,622,850.13 and 1,165,908,034.13

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Solution

The third proportional to 563,622,850.13 and 1,165,908,034.13 is: 2,411,792,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,622,850.13 : 1,165,908,034.13 = 1,165,908,034.13 : x
  2. Step 2: Convert to fraction form
    563,622,850.13/1,165,908,034.13 = 1,165,908,034.13/x
  3. Step 3: Cross multiply
    563,622,850.13x = 1,165,908,034.13 × 1,165,908,034.13
  4. Step 4: Simplify right side
    563,622,850.13x = 1,359,341,544,037,222,144
  5. Step 5: Solve for x
    x = 1,359,341,544,037,222,144/563,622,850.13
  6. Step 6: Final answer
    x = 2,411,792,821.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.