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Finding the Third Proportional to 7,352,894,223,522 and 16,090,912,541,432

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Solution

The third proportional to 7,352,894,223,522 and 16,090,912,541,432 is: 35,213,000,288,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352,894,223,522 : 16,090,912,541,432 = 16,090,912,541,432 : x
  2. Step 2: Convert to fraction form
    7,352,894,223,522/16,090,912,541,432 = 16,090,912,541,432/x
  3. Step 3: Cross multiply
    7,352,894,223,522x = 16,090,912,541,432 × 16,090,912,541,432
  4. Step 4: Simplify right side
    7,352,894,223,522x = 258,917,466,416,013,618,607,816,704
  5. Step 5: Solve for x
    x = 258,917,466,416,013,618,607,816,704/7,352,894,223,522
  6. Step 6: Final answer
    x = 35,213,000,288,747.99

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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.