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Finding the Third Proportional to 3,945,771,875 and 8,586,158,602

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Solution

The third proportional to 3,945,771,875 and 8,586,158,602 is: 18,683,827,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945,771,875 : 8,586,158,602 = 8,586,158,602 : x
  2. Step 2: Convert to fraction form
    3,945,771,875/8,586,158,602 = 8,586,158,602/x
  3. Step 3: Cross multiply
    3,945,771,875x = 8,586,158,602 × 8,586,158,602
  4. Step 4: Simplify right side
    3,945,771,875x = 73,722,119,538,698,592,256
  5. Step 5: Solve for x
    x = 73,722,119,538,698,592,256/3,945,771,875
  6. Step 6: Final answer
    x = 18,683,827,112.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.