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Finding the Third Proportional to 7,352,894,223,540 and 16,090,912,541,468

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Solution

The third proportional to 7,352,894,223,540 and 16,090,912,541,468 is: 35,213,000,288,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352,894,223,540 : 16,090,912,541,468 = 16,090,912,541,468 : x
  2. Step 2: Convert to fraction form
    7,352,894,223,540/16,090,912,541,468 = 16,090,912,541,468/x
  3. Step 3: Cross multiply
    7,352,894,223,540x = 16,090,912,541,468 × 16,090,912,541,468
  4. Step 4: Simplify right side
    7,352,894,223,540x = 258,917,466,417,172,160,266,108,928
  5. Step 5: Solve for x
    x = 258,917,466,417,172,160,266,108,928/7,352,894,223,540
  6. Step 6: Final answer
    x = 35,213,000,288,819.35

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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.