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Finding the Third Proportional to 6,637,321 and 14,442,706

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Solution

The third proportional to 6,637,321 and 14,442,706 is: 31,427,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637,321 : 14,442,706 = 14,442,706 : x
  2. Step 2: Convert to fraction form
    6,637,321/14,442,706 = 14,442,706/x
  3. Step 3: Cross multiply
    6,637,321x = 14,442,706 × 14,442,706
  4. Step 4: Simplify right side
    6,637,321x = 208,591,756,602,436
  5. Step 5: Solve for x
    x = 208,591,756,602,436/6,637,321
  6. Step 6: Final answer
    x = 31,427,100.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.