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Finding the Third Proportional to 14,210,009 and 31,254,370

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Solution

The third proportional to 14,210,009 and 31,254,370 is: 68,742,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210,009 : 31,254,370 = 31,254,370 : x
  2. Step 2: Convert to fraction form
    14,210,009/31,254,370 = 31,254,370/x
  3. Step 3: Cross multiply
    14,210,009x = 31,254,370 × 31,254,370
  4. Step 4: Simplify right side
    14,210,009x = 976,835,644,096,900
  5. Step 5: Solve for x
    x = 976,835,644,096,900/14,210,009
  6. Step 6: Final answer
    x = 68,742,788.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.