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Finding the Third Proportional to 243,801,525 and 520,667,574

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Solution

The third proportional to 243,801,525 and 520,667,574 is: 1,111,948,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,801,525 : 520,667,574 = 520,667,574 : x
  2. Step 2: Convert to fraction form
    243,801,525/520,667,574 = 520,667,574/x
  3. Step 3: Cross multiply
    243,801,525x = 520,667,574 × 520,667,574
  4. Step 4: Simplify right side
    243,801,525x = 271,094,722,615,045,472
  5. Step 5: Solve for x
    x = 271,094,722,615,045,472/243,801,525
  6. Step 6: Final answer
    x = 1,111,948,428.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.