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Finding the Third Proportional to 416,832,980.63 and 887,576,969.13

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Solution

The third proportional to 416,832,980.63 and 887,576,969.13 is: 1,889,948,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,832,980.63 : 887,576,969.13 = 887,576,969.13 : x
  2. Step 2: Convert to fraction form
    416,832,980.63/887,576,969.13 = 887,576,969.13/x
  3. Step 3: Cross multiply
    416,832,980.63x = 887,576,969.13 × 887,576,969.13
  4. Step 4: Simplify right side
    416,832,980.63x = 787,792,876,121,121,152
  5. Step 5: Solve for x
    x = 787,792,876,121,121,152/416,832,980.63
  6. Step 6: Final answer
    x = 1,889,948,523.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.