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Finding the Third Proportional to 6,362,700 and 9,636,714

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Solution

The third proportional to 6,362,700 and 9,636,714 is: 14,595,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362,700 : 9,636,714 = 9,636,714 : x
  2. Step 2: Convert to fraction form
    6,362,700/9,636,714 = 9,636,714/x
  3. Step 3: Cross multiply
    6,362,700x = 9,636,714 × 9,636,714
  4. Step 4: Simplify right side
    6,362,700x = 92,866,256,717,796
  5. Step 5: Solve for x
    x = 92,866,256,717,796/6,362,700
  6. Step 6: Final answer
    x = 14,595,416.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.