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Finding the Third Proportional to 130,546,620 and 284,152,896

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Solution

The third proportional to 130,546,620 and 284,152,896 is: 618,498,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,546,620 : 284,152,896 = 284,152,896 : x
  2. Step 2: Convert to fraction form
    130,546,620/284,152,896 = 284,152,896/x
  3. Step 3: Cross multiply
    130,546,620x = 284,152,896 × 284,152,896
  4. Step 4: Simplify right side
    130,546,620x = 80,742,868,305,186,816
  5. Step 5: Solve for x
    x = 80,742,868,305,186,816/130,546,620
  6. Step 6: Final answer
    x = 618,498,344.16

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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.