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Finding the Third Proportional to 6,853,828 and 15,239,528

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Solution

The third proportional to 6,853,828 and 15,239,528 is: 33,885,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853,828 : 15,239,528 = 15,239,528 : x
  2. Step 2: Convert to fraction form
    6,853,828/15,239,528 = 15,239,528/x
  3. Step 3: Cross multiply
    6,853,828x = 15,239,528 × 15,239,528
  4. Step 4: Simplify right side
    6,853,828x = 232,243,213,662,784
  5. Step 5: Solve for x
    x = 232,243,213,662,784/6,853,828
  6. Step 6: Final answer
    x = 33,885,182.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.