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Finding the Third Proportional to 1,249,608,851 and 2,602,647,087

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Solution

The third proportional to 1,249,608,851 and 2,602,647,087 is: 5,420,713,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,608,851 : 2,602,647,087 = 2,602,647,087 : x
  2. Step 2: Convert to fraction form
    1,249,608,851/2,602,647,087 = 2,602,647,087/x
  3. Step 3: Cross multiply
    1,249,608,851x = 2,602,647,087 × 2,602,647,087
  4. Step 4: Simplify right side
    1,249,608,851x = 6,773,771,859,469,585,408
  5. Step 5: Solve for x
    x = 6,773,771,859,469,585,408/1,249,608,851
  6. Step 6: Final answer
    x = 5,420,713,732.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.