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Finding the Third Proportional to 9,645,213 and 20,804,784

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Solution

The third proportional to 9,645,213 and 20,804,784 is: 44,876,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645,213 : 20,804,784 = 20,804,784 : x
  2. Step 2: Convert to fraction form
    9,645,213/20,804,784 = 20,804,784/x
  3. Step 3: Cross multiply
    9,645,213x = 20,804,784 × 20,804,784
  4. Step 4: Simplify right side
    9,645,213x = 432,839,037,286,656
  5. Step 5: Solve for x
    x = 432,839,037,286,656/9,645,213
  6. Step 6: Final answer
    x = 44,876,047.56

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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.