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Finding the Third Proportional to 427,553,142 and 936,821,100

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Solution

The third proportional to 427,553,142 and 936,821,100 is: 2,052,689,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,553,142 : 936,821,100 = 936,821,100 : x
  2. Step 2: Convert to fraction form
    427,553,142/936,821,100 = 936,821,100/x
  3. Step 3: Cross multiply
    427,553,142x = 936,821,100 × 936,821,100
  4. Step 4: Simplify right side
    427,553,142x = 877,633,773,405,209,984
  5. Step 5: Solve for x
    x = 877,633,773,405,209,984/427,553,142
  6. Step 6: Final answer
    x = 2,052,689,331.90

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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.