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Finding the Third Proportional to 69,820,024 and 146,875,737

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Solution

The third proportional to 69,820,024 and 146,875,737 is: 308,972,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,820,024 : 146,875,737 = 146,875,737 : x
  2. Step 2: Convert to fraction form
    69,820,024/146,875,737 = 146,875,737/x
  3. Step 3: Cross multiply
    69,820,024x = 146,875,737 × 146,875,737
  4. Step 4: Simplify right side
    69,820,024x = 21,572,482,119,293,168
  5. Step 5: Solve for x
    x = 21,572,482,119,293,168/69,820,024
  6. Step 6: Final answer
    x = 308,972,711.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.