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Finding the Third Proportional to 415,606,069.13 and 903,552,698.25

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Solution

The third proportional to 415,606,069.13 and 903,552,698.25 is: 1,964,378,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,606,069.13 : 903,552,698.25 = 903,552,698.25 : x
  2. Step 2: Convert to fraction form
    415,606,069.13/903,552,698.25 = 903,552,698.25/x
  3. Step 3: Cross multiply
    415,606,069.13x = 903,552,698.25 × 903,552,698.25
  4. Step 4: Simplify right side
    415,606,069.13x = 816,407,478,514,855,552
  5. Step 5: Solve for x
    x = 816,407,478,514,855,552/415,606,069.13
  6. Step 6: Final answer
    x = 1,964,378,143.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.