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Finding the Third Proportional to 2,907,353,595.75 and 6,340,907,595

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Solution

The third proportional to 2,907,353,595.75 and 6,340,907,595 is: 13,829,452,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907,353,595.75 : 6,340,907,595 = 6,340,907,595 : x
  2. Step 2: Convert to fraction form
    2,907,353,595.75/6,340,907,595 = 6,340,907,595/x
  3. Step 3: Cross multiply
    2,907,353,595.75x = 6,340,907,595 × 6,340,907,595
  4. Step 4: Simplify right side
    2,907,353,595.75x = 40,207,109,128,328,683,520
  5. Step 5: Solve for x
    x = 40,207,109,128,328,683,520/2,907,353,595.75
  6. Step 6: Final answer
    x = 13,829,452,732.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.