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Finding the Third Proportional to 8,114,214.75 and 12,636,609.75

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Solution

The third proportional to 8,114,214.75 and 12,636,609.75 is: 19,679,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114,214.75 : 12,636,609.75 = 12,636,609.75 : x
  2. Step 2: Convert to fraction form
    8,114,214.75/12,636,609.75 = 12,636,609.75/x
  3. Step 3: Cross multiply
    8,114,214.75x = 12,636,609.75 × 12,636,609.75
  4. Step 4: Simplify right side
    8,114,214.75x = 159,683,905,973,795.06
  5. Step 5: Solve for x
    x = 159,683,905,973,795.06/8,114,214.75
  6. Step 6: Final answer
    x = 19,679,526.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.