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Finding the Third Proportional to 7,509,854 and 15,417,827

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Solution

The third proportional to 7,509,854 and 15,417,827 is: 31,652,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,854 : 15,417,827 = 15,417,827 : x
  2. Step 2: Convert to fraction form
    7,509,854/15,417,827 = 15,417,827/x
  3. Step 3: Cross multiply
    7,509,854x = 15,417,827 × 15,417,827
  4. Step 4: Simplify right side
    7,509,854x = 237,709,389,401,929
  5. Step 5: Solve for x
    x = 237,709,389,401,929/7,509,854
  6. Step 6: Final answer
    x = 31,652,997.44

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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.