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Finding the Third Proportional to 315,817,744 and 704,252,222

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Solution

The third proportional to 315,817,744 and 704,252,222 is: 1,570,434,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,817,744 : 704,252,222 = 704,252,222 : x
  2. Step 2: Convert to fraction form
    315,817,744/704,252,222 = 704,252,222/x
  3. Step 3: Cross multiply
    315,817,744x = 704,252,222 × 704,252,222
  4. Step 4: Simplify right side
    315,817,744x = 495,971,192,191,937,280
  5. Step 5: Solve for x
    x = 495,971,192,191,937,280/315,817,744
  6. Step 6: Final answer
    x = 1,570,434,852.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.