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Finding the Third Proportional to 36,041,142 and 74,637,280

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Solution

The third proportional to 36,041,142 and 74,637,280 is: 154,565,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,041,142 : 74,637,280 = 74,637,280 : x
  2. Step 2: Convert to fraction form
    36,041,142/74,637,280 = 74,637,280/x
  3. Step 3: Cross multiply
    36,041,142x = 74,637,280 × 74,637,280
  4. Step 4: Simplify right side
    36,041,142x = 5,570,723,565,798,400
  5. Step 5: Solve for x
    x = 5,570,723,565,798,400/36,041,142
  6. Step 6: Final answer
    x = 154,565,678.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.