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Finding the Third Proportional to 65,696,181,732 and 134,875,109,448

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Solution

The third proportional to 65,696,181,732 and 134,875,109,448 is: 276,900,341,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,696,181,732 : 134,875,109,448 = 134,875,109,448 : x
  2. Step 2: Convert to fraction form
    65,696,181,732/134,875,109,448 = 134,875,109,448/x
  3. Step 3: Cross multiply
    65,696,181,732x = 134,875,109,448 × 134,875,109,448
  4. Step 4: Simplify right side
    65,696,181,732x = 18,191,295,148,609,979,285,504
  5. Step 5: Solve for x
    x = 18,191,295,148,609,979,285,504/65,696,181,732
  6. Step 6: Final answer
    x = 276,900,341,374.77

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.