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Finding the Third Proportional to 8,263,951 and 17,855,776

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Solution

The third proportional to 8,263,951 and 17,855,776 is: 38,580,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,951 : 17,855,776 = 17,855,776 : x
  2. Step 2: Convert to fraction form
    8,263,951/17,855,776 = 17,855,776/x
  3. Step 3: Cross multiply
    8,263,951x = 17,855,776 × 17,855,776
  4. Step 4: Simplify right side
    8,263,951x = 318,828,736,562,176
  5. Step 5: Solve for x
    x = 318,828,736,562,176/8,263,951
  6. Step 6: Final answer
    x = 38,580,666.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.