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Finding the Third Proportional to 5,889,312 and 12,706,488

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Solution

The third proportional to 5,889,312 and 12,706,488 is: 27,414,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889,312 : 12,706,488 = 12,706,488 : x
  2. Step 2: Convert to fraction form
    5,889,312/12,706,488 = 12,706,488/x
  3. Step 3: Cross multiply
    5,889,312x = 12,706,488 × 12,706,488
  4. Step 4: Simplify right side
    5,889,312x = 161,454,837,294,144
  5. Step 5: Solve for x
    x = 161,454,837,294,144/5,889,312
  6. Step 6: Final answer
    x = 27,414,889.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.