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Finding the Third Proportional to 921,531,203 and 2,030,899,812.25

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Solution

The third proportional to 921,531,203 and 2,030,899,812.25 is: 4,475,761,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,531,203 : 2,030,899,812.25 = 2,030,899,812.25 : x
  2. Step 2: Convert to fraction form
    921,531,203/2,030,899,812.25 = 2,030,899,812.25/x
  3. Step 3: Cross multiply
    921,531,203x = 2,030,899,812.25 × 2,030,899,812.25
  4. Step 4: Simplify right side
    921,531,203x = 4,124,554,047,397,085,184
  5. Step 5: Solve for x
    x = 4,124,554,047,397,085,184/921,531,203
  6. Step 6: Final answer
    x = 4,475,761,682.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.