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Finding the Third Proportional to 453,131,037.84 and 975,986,020.13

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Solution

The third proportional to 453,131,037.84 and 975,986,020.13 is: 2,102,148,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,131,037.84 : 975,986,020.13 = 975,986,020.13 : x
  2. Step 2: Convert to fraction form
    453,131,037.84/975,986,020.13 = 975,986,020.13/x
  3. Step 3: Cross multiply
    453,131,037.84x = 975,986,020.13 × 975,986,020.13
  4. Step 4: Simplify right side
    453,131,037.84x = 952,548,711,479,436,928
  5. Step 5: Solve for x
    x = 952,548,711,479,436,928/453,131,037.84
  6. Step 6: Final answer
    x = 2,102,148,455.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.