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Finding the Third Proportional to 13,469,664 and 29,547,120

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Solution

The third proportional to 13,469,664 and 29,547,120 is: 64,814,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469,664 : 29,547,120 = 29,547,120 : x
  2. Step 2: Convert to fraction form
    13,469,664/29,547,120 = 29,547,120/x
  3. Step 3: Cross multiply
    13,469,664x = 29,547,120 × 29,547,120
  4. Step 4: Simplify right side
    13,469,664x = 873,032,300,294,400
  5. Step 5: Solve for x
    x = 873,032,300,294,400/13,469,664
  6. Step 6: Final answer
    x = 64,814,705.13

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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.