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Finding the Third Proportional to 2,537,411 and 5,470,927

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Solution

The third proportional to 2,537,411 and 5,470,927 is: 11,795,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,411 : 5,470,927 = 5,470,927 : x
  2. Step 2: Convert to fraction form
    2,537,411/5,470,927 = 5,470,927/x
  3. Step 3: Cross multiply
    2,537,411x = 5,470,927 × 5,470,927
  4. Step 4: Simplify right side
    2,537,411x = 29,931,042,239,329
  5. Step 5: Solve for x
    x = 29,931,042,239,329/2,537,411
  6. Step 6: Final answer
    x = 11,795,898.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.