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Finding the Third Proportional to 719,434,632 and 1,565,552,788

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Solution

The third proportional to 719,434,632 and 1,565,552,788 is: 3,406,780,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,434,632 : 1,565,552,788 = 1,565,552,788 : x
  2. Step 2: Convert to fraction form
    719,434,632/1,565,552,788 = 1,565,552,788/x
  3. Step 3: Cross multiply
    719,434,632x = 1,565,552,788 × 1,565,552,788
  4. Step 4: Simplify right side
    719,434,632x = 2,450,955,532,014,573,056
  5. Step 5: Solve for x
    x = 2,450,955,532,014,573,056/719,434,632
  6. Step 6: Final answer
    x = 3,406,780,022.81

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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.