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Finding the Third Proportional to 6,435,748 and 12,709,064

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Solution

The third proportional to 6,435,748 and 12,709,064 is: 25,097,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435,748 : 12,709,064 = 12,709,064 : x
  2. Step 2: Convert to fraction form
    6,435,748/12,709,064 = 12,709,064/x
  3. Step 3: Cross multiply
    6,435,748x = 12,709,064 × 12,709,064
  4. Step 4: Simplify right side
    6,435,748x = 161,520,307,756,096
  5. Step 5: Solve for x
    x = 161,520,307,756,096/6,435,748
  6. Step 6: Final answer
    x = 25,097,363.63

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.