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Finding the Third Proportional to 6,742,732.50 and 14,564,427

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Solution

The third proportional to 6,742,732.50 and 14,564,427 is: 31,459,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742,732.50 : 14,564,427 = 14,564,427 : x
  2. Step 2: Convert to fraction form
    6,742,732.50/14,564,427 = 14,564,427/x
  3. Step 3: Cross multiply
    6,742,732.50x = 14,564,427 × 14,564,427
  4. Step 4: Simplify right side
    6,742,732.50x = 212,122,533,838,329
  5. Step 5: Solve for x
    x = 212,122,533,838,329/6,742,732.50
  6. Step 6: Final answer
    x = 31,459,431.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.