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Finding the Third Proportional to 6,425,677.50 and 13,514,013

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Solution

The third proportional to 6,425,677.50 and 13,514,013 is: 28,421,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,677.50 : 13,514,013 = 13,514,013 : x
  2. Step 2: Convert to fraction form
    6,425,677.50/13,514,013 = 13,514,013/x
  3. Step 3: Cross multiply
    6,425,677.50x = 13,514,013 × 13,514,013
  4. Step 4: Simplify right side
    6,425,677.50x = 182,628,547,364,169
  5. Step 5: Solve for x
    x = 182,628,547,364,169/6,425,677.50
  6. Step 6: Final answer
    x = 28,421,679.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.