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Finding the Third Proportional to 342,225,056 and 738,994,880

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Solution

The third proportional to 342,225,056 and 738,994,880 is: 1,595,772,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,225,056 : 738,994,880 = 738,994,880 : x
  2. Step 2: Convert to fraction form
    342,225,056/738,994,880 = 738,994,880/x
  3. Step 3: Cross multiply
    342,225,056x = 738,994,880 × 738,994,880
  4. Step 4: Simplify right side
    342,225,056x = 546,113,432,666,214,400
  5. Step 5: Solve for x
    x = 546,113,432,666,214,400/342,225,056
  6. Step 6: Final answer
    x = 1,595,772,790.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.