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Finding the Third Proportional to 6,689,106 and 14,656,148

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Solution

The third proportional to 6,689,106 and 14,656,148 is: 32,112,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689,106 : 14,656,148 = 14,656,148 : x
  2. Step 2: Convert to fraction form
    6,689,106/14,656,148 = 14,656,148/x
  3. Step 3: Cross multiply
    6,689,106x = 14,656,148 × 14,656,148
  4. Step 4: Simplify right side
    6,689,106x = 214,802,674,197,904
  5. Step 5: Solve for x
    x = 214,802,674,197,904/6,689,106
  6. Step 6: Final answer
    x = 32,112,314.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.