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Finding the Third Proportional to 7,750,116 and 16,977,672

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Solution

The third proportional to 7,750,116 and 16,977,672 is: 37,191,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,116 : 16,977,672 = 16,977,672 : x
  2. Step 2: Convert to fraction form
    7,750,116/16,977,672 = 16,977,672/x
  3. Step 3: Cross multiply
    7,750,116x = 16,977,672 × 16,977,672
  4. Step 4: Simplify right side
    7,750,116x = 288,241,346,539,584
  5. Step 5: Solve for x
    x = 288,241,346,539,584/7,750,116
  6. Step 6: Final answer
    x = 37,191,875.13

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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.