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Finding the Third Proportional to 9,770,875 and 14,371,983

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Solution

The third proportional to 9,770,875 and 14,371,983 is: 21,139,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,875 : 14,371,983 = 14,371,983 : x
  2. Step 2: Convert to fraction form
    9,770,875/14,371,983 = 14,371,983/x
  3. Step 3: Cross multiply
    9,770,875x = 14,371,983 × 14,371,983
  4. Step 4: Simplify right side
    9,770,875x = 206,553,895,352,289
  5. Step 5: Solve for x
    x = 206,553,895,352,289/9,770,875
  6. Step 6: Final answer
    x = 21,139,754.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.