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Finding the Third Proportional to 4,723,926 and 10,038,342

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Solution

The third proportional to 4,723,926 and 10,038,342 is: 21,331,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723,926 : 10,038,342 = 10,038,342 : x
  2. Step 2: Convert to fraction form
    4,723,926/10,038,342 = 10,038,342/x
  3. Step 3: Cross multiply
    4,723,926x = 10,038,342 × 10,038,342
  4. Step 4: Simplify right side
    4,723,926x = 100,768,310,108,964
  5. Step 5: Solve for x
    x = 100,768,310,108,964/4,723,926
  6. Step 6: Final answer
    x = 21,331,475.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.