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Finding the Third Proportional to 24,648,259.50 and 53,193,753

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Solution

The third proportional to 24,648,259.50 and 53,193,753 is: 114,798,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648,259.50 : 53,193,753 = 53,193,753 : x
  2. Step 2: Convert to fraction form
    24,648,259.50/53,193,753 = 53,193,753/x
  3. Step 3: Cross multiply
    24,648,259.50x = 53,193,753 × 53,193,753
  4. Step 4: Simplify right side
    24,648,259.50x = 2,829,575,358,225,009
  5. Step 5: Solve for x
    x = 2,829,575,358,225,009/24,648,259.50
  6. Step 6: Final answer
    x = 114,798,181.11

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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.