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Finding the Third Proportional to 877,414,329 and 1,926,989,217

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Solution

The third proportional to 877,414,329 and 1,926,989,217 is: 4,232,079,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,414,329 : 1,926,989,217 = 1,926,989,217 : x
  2. Step 2: Convert to fraction form
    877,414,329/1,926,989,217 = 1,926,989,217/x
  3. Step 3: Cross multiply
    877,414,329x = 1,926,989,217 × 1,926,989,217
  4. Step 4: Simplify right side
    877,414,329x = 3,713,287,442,434,273,280
  5. Step 5: Solve for x
    x = 3,713,287,442,434,273,280/877,414,329
  6. Step 6: Final answer
    x = 4,232,079,782.27

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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.