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Finding the Third Proportional to 10,303,200 and 22,376,304

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Solution

The third proportional to 10,303,200 and 22,376,304 is: 48,596,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303,200 : 22,376,304 = 22,376,304 : x
  2. Step 2: Convert to fraction form
    10,303,200/22,376,304 = 22,376,304/x
  3. Step 3: Cross multiply
    10,303,200x = 22,376,304 × 22,376,304
  4. Step 4: Simplify right side
    10,303,200x = 500,698,980,700,416
  5. Step 5: Solve for x
    x = 500,698,980,700,416/10,303,200
  6. Step 6: Final answer
    x = 48,596,453.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.