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Finding the Third Proportional to 1,364,657,575.50 and 1,950,131,236.13

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Solution

The third proportional to 1,364,657,575.50 and 1,950,131,236.13 is: 2,786,788,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,657,575.50 : 1,950,131,236.13 = 1,950,131,236.13 : x
  2. Step 2: Convert to fraction form
    1,364,657,575.50/1,950,131,236.13 = 1,950,131,236.13/x
  3. Step 3: Cross multiply
    1,364,657,575.50x = 1,950,131,236.13 × 1,950,131,236.13
  4. Step 4: Simplify right side
    1,364,657,575.50x = 3,803,011,838,110,420,480
  5. Step 5: Solve for x
    x = 3,803,011,838,110,420,480/1,364,657,575.50
  6. Step 6: Final answer
    x = 2,786,788,353.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.