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Finding the Third Proportional to 413,893,818 and 649,277,563

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Solution

The third proportional to 413,893,818 and 649,277,563 is: 1,018,525,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,893,818 : 649,277,563 = 649,277,563 : x
  2. Step 2: Convert to fraction form
    413,893,818/649,277,563 = 649,277,563/x
  3. Step 3: Cross multiply
    413,893,818x = 649,277,563 × 649,277,563
  4. Step 4: Simplify right side
    413,893,818x = 421,561,353,815,218,944
  5. Step 5: Solve for x
    x = 421,561,353,815,218,944/413,893,818
  6. Step 6: Final answer
    x = 1,018,525,369.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.