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Finding the Third Proportional to 14,742,435 and 22,319,778

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Solution

The third proportional to 14,742,435 and 22,319,778 is: 33,791,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742,435 : 22,319,778 = 22,319,778 : x
  2. Step 2: Convert to fraction form
    14,742,435/22,319,778 = 22,319,778/x
  3. Step 3: Cross multiply
    14,742,435x = 22,319,778 × 22,319,778
  4. Step 4: Simplify right side
    14,742,435x = 498,172,489,969,284
  5. Step 5: Solve for x
    x = 498,172,489,969,284/14,742,435
  6. Step 6: Final answer
    x = 33,791,737.25

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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.