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Finding the Third Proportional to 1,660,886,496 and 2,335,925,736

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Solution

The third proportional to 1,660,886,496 and 2,335,925,736 is: 3,285,323,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,886,496 : 2,335,925,736 = 2,335,925,736 : x
  2. Step 2: Convert to fraction form
    1,660,886,496/2,335,925,736 = 2,335,925,736/x
  3. Step 3: Cross multiply
    1,660,886,496x = 2,335,925,736 × 2,335,925,736
  4. Step 4: Simplify right side
    1,660,886,496x = 5,456,549,044,107,142,144
  5. Step 5: Solve for x
    x = 5,456,549,044,107,142,144/1,660,886,496
  6. Step 6: Final answer
    x = 3,285,323,263.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.