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Finding the Third Proportional to 10,614,548 and 14,525,148

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Solution

The third proportional to 10,614,548 and 14,525,148 is: 19,876,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,548 : 14,525,148 = 14,525,148 : x
  2. Step 2: Convert to fraction form
    10,614,548/14,525,148 = 14,525,148/x
  3. Step 3: Cross multiply
    10,614,548x = 14,525,148 × 14,525,148
  4. Step 4: Simplify right side
    10,614,548x = 210,979,924,421,904
  5. Step 5: Solve for x
    x = 210,979,924,421,904/10,614,548
  6. Step 6: Final answer
    x = 19,876,486.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.