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Finding the Third Proportional to 4,812,342 and 10,700,646

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Solution

The third proportional to 4,812,342 and 10,700,646 is: 23,793,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812,342 : 10,700,646 = 10,700,646 : x
  2. Step 2: Convert to fraction form
    4,812,342/10,700,646 = 10,700,646/x
  3. Step 3: Cross multiply
    4,812,342x = 10,700,646 × 10,700,646
  4. Step 4: Simplify right side
    4,812,342x = 114,503,824,817,316
  5. Step 5: Solve for x
    x = 114,503,824,817,316/4,812,342
  6. Step 6: Final answer
    x = 23,793,783.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.