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Finding the Third Proportional to 452,893,011.75 and 990,580,326.75

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Solution

The third proportional to 452,893,011.75 and 990,580,326.75 is: 2,166,625,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,893,011.75 : 990,580,326.75 = 990,580,326.75 : x
  2. Step 2: Convert to fraction form
    452,893,011.75/990,580,326.75 = 990,580,326.75/x
  3. Step 3: Cross multiply
    452,893,011.75x = 990,580,326.75 × 990,580,326.75
  4. Step 4: Simplify right side
    452,893,011.75x = 981,249,383,744,136,704
  5. Step 5: Solve for x
    x = 981,249,383,744,136,704/452,893,011.75
  6. Step 6: Final answer
    x = 2,166,625,137.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.