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Finding the Third Proportional to 7,315,490 and 11,371,827

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Solution

The third proportional to 7,315,490 and 11,371,827 is: 17,677,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315,490 : 11,371,827 = 11,371,827 : x
  2. Step 2: Convert to fraction form
    7,315,490/11,371,827 = 11,371,827/x
  3. Step 3: Cross multiply
    7,315,490x = 11,371,827 × 11,371,827
  4. Step 4: Simplify right side
    7,315,490x = 129,318,449,317,929
  5. Step 5: Solve for x
    x = 129,318,449,317,929/7,315,490
  6. Step 6: Final answer
    x = 17,677,346.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.