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Finding the Third Proportional to 10,278,636 and 14,461,776

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Solution

The third proportional to 10,278,636 and 14,461,776 is: 20,347,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278,636 : 14,461,776 = 14,461,776 : x
  2. Step 2: Convert to fraction form
    10,278,636/14,461,776 = 14,461,776/x
  3. Step 3: Cross multiply
    10,278,636x = 14,461,776 × 14,461,776
  4. Step 4: Simplify right side
    10,278,636x = 209,142,965,074,176
  5. Step 5: Solve for x
    x = 209,142,965,074,176/10,278,636
  6. Step 6: Final answer
    x = 20,347,346.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.