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Finding the Third Proportional to 345,820,744.50 and 534,890,860.50

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Solution

The third proportional to 345,820,744.50 and 534,890,860.50 is: 827,331,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,820,744.50 : 534,890,860.50 = 534,890,860.50 : x
  2. Step 2: Convert to fraction form
    345,820,744.50/534,890,860.50 = 534,890,860.50/x
  3. Step 3: Cross multiply
    345,820,744.50x = 534,890,860.50 × 534,890,860.50
  4. Step 4: Simplify right side
    345,820,744.50x = 286,108,232,646,430,464
  5. Step 5: Solve for x
    x = 286,108,232,646,430,464/345,820,744.50
  6. Step 6: Final answer
    x = 827,331,029.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.