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Finding the Third Proportional to 9,319,106 and 19,933,572

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Solution

The third proportional to 9,319,106 and 19,933,572 is: 42,637,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319,106 : 19,933,572 = 19,933,572 : x
  2. Step 2: Convert to fraction form
    9,319,106/19,933,572 = 19,933,572/x
  3. Step 3: Cross multiply
    9,319,106x = 19,933,572 × 19,933,572
  4. Step 4: Simplify right side
    9,319,106x = 397,347,292,679,184
  5. Step 5: Solve for x
    x = 397,347,292,679,184/9,319,106
  6. Step 6: Final answer
    x = 42,637,919.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.