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Finding the Third Proportional to 877,299,073.59 and 1,950,749,698.50

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Solution

The third proportional to 877,299,073.59 and 1,950,749,698.50 is: 4,337,659,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,299,073.59 : 1,950,749,698.50 = 1,950,749,698.50 : x
  2. Step 2: Convert to fraction form
    877,299,073.59/1,950,749,698.50 = 1,950,749,698.50/x
  3. Step 3: Cross multiply
    877,299,073.59x = 1,950,749,698.50 × 1,950,749,698.50
  4. Step 4: Simplify right side
    877,299,073.59x = 3,805,424,386,197,840,896
  5. Step 5: Solve for x
    x = 3,805,424,386,197,840,896/877,299,073.59
  6. Step 6: Final answer
    x = 4,337,659,186.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.