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Finding the Third Proportional to 803,431,882.88 and 1,740,938,195.63

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Solution

The third proportional to 803,431,882.88 and 1,740,938,195.63 is: 3,772,399,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,431,882.88 : 1,740,938,195.63 = 1,740,938,195.63 : x
  2. Step 2: Convert to fraction form
    803,431,882.88/1,740,938,195.63 = 1,740,938,195.63/x
  3. Step 3: Cross multiply
    803,431,882.88x = 1,740,938,195.63 × 1,740,938,195.63
  4. Step 4: Simplify right side
    803,431,882.88x = 3,030,865,800,986,030,592
  5. Step 5: Solve for x
    x = 3,030,865,800,986,030,592/803,431,882.88
  6. Step 6: Final answer
    x = 3,772,399,210.92

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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.