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Finding the Third Proportional to 24,388,623 and 35,909,269.50

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Solution

The third proportional to 24,388,623 and 35,909,269.50 is: 52,872,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388,623 : 35,909,269.50 = 35,909,269.50 : x
  2. Step 2: Convert to fraction form
    24,388,623/35,909,269.50 = 35,909,269.50/x
  3. Step 3: Cross multiply
    24,388,623x = 35,909,269.50 × 35,909,269.50
  4. Step 4: Simplify right side
    24,388,623x = 1,289,475,636,023,630.25
  5. Step 5: Solve for x
    x = 1,289,475,636,023,630.25/24,388,623
  6. Step 6: Final answer
    x = 52,872,014.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.