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Finding the Third Proportional to 7,352,894,223,476 and 16,090,912,541,340

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Solution

The third proportional to 7,352,894,223,476 and 16,090,912,541,340 is: 35,213,000,288,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352,894,223,476 : 16,090,912,541,340 = 16,090,912,541,340 : x
  2. Step 2: Convert to fraction form
    7,352,894,223,476/16,090,912,541,340 = 16,090,912,541,340/x
  3. Step 3: Cross multiply
    7,352,894,223,476x = 16,090,912,541,340 × 16,090,912,541,340
  4. Step 4: Simplify right side
    7,352,894,223,476x = 258,917,466,413,052,908,672,122,880
  5. Step 5: Solve for x
    x = 258,917,466,413,052,908,672,122,880/7,352,894,223,476
  6. Step 6: Final answer
    x = 35,213,000,288,565.62

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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.