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Finding the Third Proportional to 353,867,986,564 and 779,865,537,496

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Solution

The third proportional to 353,867,986,564 and 779,865,537,496 is: 1,718,692,505,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,867,986,564 : 779,865,537,496 = 779,865,537,496 : x
  2. Step 2: Convert to fraction form
    353,867,986,564/779,865,537,496 = 779,865,537,496/x
  3. Step 3: Cross multiply
    353,867,986,564x = 779,865,537,496 × 779,865,537,496
  4. Step 4: Simplify right side
    353,867,986,564x = 608,190,256,573,924,958,535,680
  5. Step 5: Solve for x
    x = 608,190,256,573,924,958,535,680/353,867,986,564
  6. Step 6: Final answer
    x = 1,718,692,505,867.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.