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Finding the Third Proportional to 431,072,956.13 and 943,755,259.50

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Solution

The third proportional to 431,072,956.13 and 943,755,259.50 is: 2,066,179,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,072,956.13 : 943,755,259.50 = 943,755,259.50 : x
  2. Step 2: Convert to fraction form
    431,072,956.13/943,755,259.50 = 943,755,259.50/x
  3. Step 3: Cross multiply
    431,072,956.13x = 943,755,259.50 × 943,755,259.50
  4. Step 4: Simplify right side
    431,072,956.13x = 890,673,989,833,912,320
  5. Step 5: Solve for x
    x = 890,673,989,833,912,320/431,072,956.13
  6. Step 6: Final answer
    x = 2,066,179,232.95

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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.