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Finding the Third Proportional to 1,415,950,585 and 2,221,208,652

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Solution

The third proportional to 1,415,950,585 and 2,221,208,652 is: 3,484,420,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,950,585 : 2,221,208,652 = 2,221,208,652 : x
  2. Step 2: Convert to fraction form
    1,415,950,585/2,221,208,652 = 2,221,208,652/x
  3. Step 3: Cross multiply
    1,415,950,585x = 2,221,208,652 × 2,221,208,652
  4. Step 4: Simplify right side
    1,415,950,585x = 4,933,767,875,719,657,472
  5. Step 5: Solve for x
    x = 4,933,767,875,719,657,472/1,415,950,585
  6. Step 6: Final answer
    x = 3,484,420,945.18

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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.