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Finding the Third Proportional to 1,415,950,582.50 and 2,221,208,649

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Solution

The third proportional to 1,415,950,582.50 and 2,221,208,649 is: 3,484,420,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,950,582.50 : 2,221,208,649 = 2,221,208,649 : x
  2. Step 2: Convert to fraction form
    1,415,950,582.50/2,221,208,649 = 2,221,208,649/x
  3. Step 3: Cross multiply
    1,415,950,582.50x = 2,221,208,649 × 2,221,208,649
  4. Step 4: Simplify right side
    1,415,950,582.50x = 4,933,767,862,392,404,992
  5. Step 5: Solve for x
    x = 4,933,767,862,392,404,992/1,415,950,582.50
  6. Step 6: Final answer
    x = 3,484,420,941.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.