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Finding the Third Proportional to 803,431,916 and 1,740,938,256

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Solution

The third proportional to 803,431,916 and 1,740,938,256 is: 3,772,399,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,431,916 : 1,740,938,256 = 1,740,938,256 : x
  2. Step 2: Convert to fraction form
    803,431,916/1,740,938,256 = 1,740,938,256/x
  3. Step 3: Cross multiply
    803,431,916x = 1,740,938,256 × 1,740,938,256
  4. Step 4: Simplify right side
    803,431,916x = 3,030,866,011,204,321,280
  5. Step 5: Solve for x
    x = 3,030,866,011,204,321,280/803,431,916
  6. Step 6: Final answer
    x = 3,772,399,317.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.