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Finding the Third Proportional to 5,470,713 and 12,663,729

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Solution

The third proportional to 5,470,713 and 12,663,729 is: 29,314,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,713 : 12,663,729 = 12,663,729 : x
  2. Step 2: Convert to fraction form
    5,470,713/12,663,729 = 12,663,729/x
  3. Step 3: Cross multiply
    5,470,713x = 12,663,729 × 12,663,729
  4. Step 4: Simplify right side
    5,470,713x = 160,370,032,185,441
  5. Step 5: Solve for x
    x = 160,370,032,185,441/5,470,713
  6. Step 6: Final answer
    x = 29,314,283.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.