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Finding the Third Proportional to 7,509,853 and 15,417,826

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Solution

The third proportional to 7,509,853 and 15,417,826 is: 31,652,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,853 : 15,417,826 = 15,417,826 : x
  2. Step 2: Convert to fraction form
    7,509,853/15,417,826 = 15,417,826/x
  3. Step 3: Cross multiply
    7,509,853x = 15,417,826 × 15,417,826
  4. Step 4: Simplify right side
    7,509,853x = 237,709,358,566,276
  5. Step 5: Solve for x
    x = 237,709,358,566,276/7,509,853
  6. Step 6: Final answer
    x = 31,652,997.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.