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Finding the Third Proportional to 853,415,784 and 1,861,893,312

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Solution

The third proportional to 853,415,784 and 1,861,893,312 is: 4,062,084,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,415,784 : 1,861,893,312 = 1,861,893,312 : x
  2. Step 2: Convert to fraction form
    853,415,784/1,861,893,312 = 1,861,893,312/x
  3. Step 3: Cross multiply
    853,415,784x = 1,861,893,312 × 1,861,893,312
  4. Step 4: Simplify right side
    853,415,784x = 3,466,646,705,270,329,344
  5. Step 5: Solve for x
    x = 3,466,646,705,270,329,344/853,415,784
  6. Step 6: Final answer
    x = 4,062,084,121.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.