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Finding the Third Proportional to 436,536,135 and 930,218,580

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Solution

The third proportional to 436,536,135 and 930,218,580 is: 1,982,210,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,536,135 : 930,218,580 = 930,218,580 : x
  2. Step 2: Convert to fraction form
    436,536,135/930,218,580 = 930,218,580/x
  3. Step 3: Cross multiply
    436,536,135x = 930,218,580 × 930,218,580
  4. Step 4: Simplify right side
    436,536,135x = 865,306,606,577,216,384
  5. Step 5: Solve for x
    x = 865,306,606,577,216,384/436,536,135
  6. Step 6: Final answer
    x = 1,982,210,720.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.