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Finding the Third Proportional to 445,672,656 and 977,438,880

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Solution

The third proportional to 445,672,656 and 977,438,880 is: 2,143,696,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,672,656 : 977,438,880 = 977,438,880 : x
  2. Step 2: Convert to fraction form
    445,672,656/977,438,880 = 977,438,880/x
  3. Step 3: Cross multiply
    445,672,656x = 977,438,880 × 977,438,880
  4. Step 4: Simplify right side
    445,672,656x = 955,386,764,135,654,400
  5. Step 5: Solve for x
    x = 955,386,764,135,654,400/445,672,656
  6. Step 6: Final answer
    x = 2,143,696,166.40

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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.