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Finding the Third Proportional to 803,431,909 and 1,740,938,244

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Solution

The third proportional to 803,431,909 and 1,740,938,244 is: 3,772,399,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,431,909 : 1,740,938,244 = 1,740,938,244 : x
  2. Step 2: Convert to fraction form
    803,431,909/1,740,938,244 = 1,740,938,244/x
  3. Step 3: Cross multiply
    803,431,909x = 1,740,938,244 × 1,740,938,244
  4. Step 4: Simplify right side
    803,431,909x = 3,030,865,969,421,803,520
  5. Step 5: Solve for x
    x = 3,030,865,969,421,803,520/803,431,909
  6. Step 6: Final answer
    x = 3,772,399,297.90

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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.