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Finding the Third Proportional to 5,306,154,850.50 and 11,357,698,353

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Solution

The third proportional to 5,306,154,850.50 and 11,357,698,353 is: 24,310,883,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,154,850.50 : 11,357,698,353 = 11,357,698,353 : x
  2. Step 2: Convert to fraction form
    5,306,154,850.50/11,357,698,353 = 11,357,698,353/x
  3. Step 3: Cross multiply
    5,306,154,850.50x = 11,357,698,353 × 11,357,698,353
  4. Step 4: Simplify right side
    5,306,154,850.50x = 128,997,311,877,738,905,600
  5. Step 5: Solve for x
    x = 128,997,311,877,738,905,600/5,306,154,850.50
  6. Step 6: Final answer
    x = 24,310,883,400.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.