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Finding the Third Proportional to 1,866,186,381 and 4,009,320,834

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Solution

The third proportional to 1,866,186,381 and 4,009,320,834 is: 8,613,637,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,186,381 : 4,009,320,834 = 4,009,320,834 : x
  2. Step 2: Convert to fraction form
    1,866,186,381/4,009,320,834 = 4,009,320,834/x
  3. Step 3: Cross multiply
    1,866,186,381x = 4,009,320,834 × 4,009,320,834
  4. Step 4: Simplify right side
    1,866,186,381x = 16,074,653,549,946,456,064
  5. Step 5: Solve for x
    x = 16,074,653,549,946,456,064/1,866,186,381
  6. Step 6: Final answer
    x = 8,613,637,798.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.