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Finding the Third Proportional to 431,525,415.38 and 930,407,392.13

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Solution

The third proportional to 431,525,415.38 and 930,407,392.13 is: 2,006,041,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,525,415.38 : 930,407,392.13 = 930,407,392.13 : x
  2. Step 2: Convert to fraction form
    431,525,415.38/930,407,392.13 = 930,407,392.13/x
  3. Step 3: Cross multiply
    431,525,415.38x = 930,407,392.13 × 930,407,392.13
  4. Step 4: Simplify right side
    431,525,415.38x = 865,657,915,320,843,520
  5. Step 5: Solve for x
    x = 865,657,915,320,843,520/431,525,415.38
  6. Step 6: Final answer
    x = 2,006,041,555.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.