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Finding the Third Proportional to 5,421,704 and 11,402,536

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Solution

The third proportional to 5,421,704 and 11,402,536 is: 23,980,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,704 : 11,402,536 = 11,402,536 : x
  2. Step 2: Convert to fraction form
    5,421,704/11,402,536 = 11,402,536/x
  3. Step 3: Cross multiply
    5,421,704x = 11,402,536 × 11,402,536
  4. Step 4: Simplify right side
    5,421,704x = 130,017,827,231,296
  5. Step 5: Solve for x
    x = 130,017,827,231,296/5,421,704
  6. Step 6: Final answer
    x = 23,980,989.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.