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Finding the Third Proportional to 32,915,436,091.50 and 72,119,280,453

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Solution

The third proportional to 32,915,436,091.50 and 72,119,280,453 is: 158,016,761,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,915,436,091.50 : 72,119,280,453 = 72,119,280,453 : x
  2. Step 2: Convert to fraction form
    32,915,436,091.50/72,119,280,453 = 72,119,280,453/x
  3. Step 3: Cross multiply
    32,915,436,091.50x = 72,119,280,453 × 72,119,280,453
  4. Step 4: Simplify right side
    32,915,436,091.50x = 5,201,190,613,058,468,184,064
  5. Step 5: Solve for x
    x = 5,201,190,613,058,468,184,064/32,915,436,091.50
  6. Step 6: Final answer
    x = 158,016,761,455.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.