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Finding the Third Proportional to 445,672,800 and 977,439,168

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Solution

The third proportional to 445,672,800 and 977,439,168 is: 2,143,696,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,672,800 : 977,439,168 = 977,439,168 : x
  2. Step 2: Convert to fraction form
    445,672,800/977,439,168 = 977,439,168/x
  3. Step 3: Cross multiply
    445,672,800x = 977,439,168 × 977,439,168
  4. Step 4: Simplify right side
    445,672,800x = 955,387,327,140,532,224
  5. Step 5: Solve for x
    x = 955,387,327,140,532,224/445,672,800
  6. Step 6: Final answer
    x = 2,143,696,737.02

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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.