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Finding the Third Proportional to 9,223,650 and 13,597,011

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Solution

The third proportional to 9,223,650 and 13,597,011 is: 20,043,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223,650 : 13,597,011 = 13,597,011 : x
  2. Step 2: Convert to fraction form
    9,223,650/13,597,011 = 13,597,011/x
  3. Step 3: Cross multiply
    9,223,650x = 13,597,011 × 13,597,011
  4. Step 4: Simplify right side
    9,223,650x = 184,878,708,134,121
  5. Step 5: Solve for x
    x = 184,878,708,134,121/9,223,650
  6. Step 6: Final answer
    x = 20,043,985.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.