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Finding the Third Proportional to 10,931,969 and 23,923,281

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Solution

The third proportional to 10,931,969 and 23,923,281 is: 52,353,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931,969 : 23,923,281 = 23,923,281 : x
  2. Step 2: Convert to fraction form
    10,931,969/23,923,281 = 23,923,281/x
  3. Step 3: Cross multiply
    10,931,969x = 23,923,281 × 23,923,281
  4. Step 4: Simplify right side
    10,931,969x = 572,323,373,804,961
  5. Step 5: Solve for x
    x = 572,323,373,804,961/10,931,969
  6. Step 6: Final answer
    x = 52,353,183.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.