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Finding the Third Proportional to 6,371,100 and 13,756,473

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Solution

The third proportional to 6,371,100 and 13,756,473 is: 29,702,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,100 : 13,756,473 = 13,756,473 : x
  2. Step 2: Convert to fraction form
    6,371,100/13,756,473 = 13,756,473/x
  3. Step 3: Cross multiply
    6,371,100x = 13,756,473 × 13,756,473
  4. Step 4: Simplify right side
    6,371,100x = 189,240,549,399,729
  5. Step 5: Solve for x
    x = 189,240,549,399,729/6,371,100
  6. Step 6: Final answer
    x = 29,702,963.29

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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.