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Finding the Third Proportional to 1,149,406,281 and 1,775,813,382

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Solution

The third proportional to 1,149,406,281 and 1,775,813,382 is: 2,743,601,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,406,281 : 1,775,813,382 = 1,775,813,382 : x
  2. Step 2: Convert to fraction form
    1,149,406,281/1,775,813,382 = 1,775,813,382/x
  3. Step 3: Cross multiply
    1,149,406,281x = 1,775,813,382 × 1,775,813,382
  4. Step 4: Simplify right side
    1,149,406,281x = 3,153,513,167,690,277,888
  5. Step 5: Solve for x
    x = 3,153,513,167,690,277,888/1,149,406,281
  6. Step 6: Final answer
    x = 2,743,601,822.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.