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Finding the Third Proportional to 9,191,647 and 14,547,828

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Solution

The third proportional to 9,191,647 and 14,547,828 is: 23,025,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191,647 : 14,547,828 = 14,547,828 : x
  2. Step 2: Convert to fraction form
    9,191,647/14,547,828 = 14,547,828/x
  3. Step 3: Cross multiply
    9,191,647x = 14,547,828 × 14,547,828
  4. Step 4: Simplify right side
    9,191,647x = 211,639,299,517,584
  5. Step 5: Solve for x
    x = 211,639,299,517,584/9,191,647
  6. Step 6: Final answer
    x = 23,025,177.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.