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Finding the Third Proportional to 318,574,544 and 695,056,476

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Solution

The third proportional to 318,574,544 and 695,056,476 is: 1,516,453,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,574,544 : 695,056,476 = 695,056,476 : x
  2. Step 2: Convert to fraction form
    318,574,544/695,056,476 = 695,056,476/x
  3. Step 3: Cross multiply
    318,574,544x = 695,056,476 × 695,056,476
  4. Step 4: Simplify right side
    318,574,544x = 483,103,504,829,538,560
  5. Step 5: Solve for x
    x = 483,103,504,829,538,560/318,574,544
  6. Step 6: Final answer
    x = 1,516,453,570.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.