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Finding the Third Proportional to 614,081,412 and 1,449,637,884

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Solution

The third proportional to 614,081,412 and 1,449,637,884 is: 3,422,103,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,081,412 : 1,449,637,884 = 1,449,637,884 : x
  2. Step 2: Convert to fraction form
    614,081,412/1,449,637,884 = 1,449,637,884/x
  3. Step 3: Cross multiply
    614,081,412x = 1,449,637,884 × 1,449,637,884
  4. Step 4: Simplify right side
    614,081,412x = 2,101,449,994,727,997,440
  5. Step 5: Solve for x
    x = 2,101,449,994,727,997,440/614,081,412
  6. Step 6: Final answer
    x = 3,422,103,248.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.