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Finding the Third Proportional to 6,311,784 and 13,804,547

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Solution

The third proportional to 6,311,784 and 13,804,547 is: 30,192,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311,784 : 13,804,547 = 13,804,547 : x
  2. Step 2: Convert to fraction form
    6,311,784/13,804,547 = 13,804,547/x
  3. Step 3: Cross multiply
    6,311,784x = 13,804,547 × 13,804,547
  4. Step 4: Simplify right side
    6,311,784x = 190,565,517,875,209
  5. Step 5: Solve for x
    x = 190,565,517,875,209/6,311,784
  6. Step 6: Final answer
    x = 30,192,021.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.