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Finding the Third Proportional to 6,907,212 and 10,457,154

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Solution

The third proportional to 6,907,212 and 10,457,154 is: 15,831,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907,212 : 10,457,154 = 10,457,154 : x
  2. Step 2: Convert to fraction form
    6,907,212/10,457,154 = 10,457,154/x
  3. Step 3: Cross multiply
    6,907,212x = 10,457,154 × 10,457,154
  4. Step 4: Simplify right side
    6,907,212x = 109,352,069,779,716
  5. Step 5: Solve for x
    x = 109,352,069,779,716/6,907,212
  6. Step 6: Final answer
    x = 15,831,578.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.