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Finding the Third Proportional to 24,779,659.50 and 53,146,543.50

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Solution

The third proportional to 24,779,659.50 and 53,146,543.50 is: 113,986,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,779,659.50 : 53,146,543.50 = 53,146,543.50 : x
  2. Step 2: Convert to fraction form
    24,779,659.50/53,146,543.50 = 53,146,543.50/x
  3. Step 3: Cross multiply
    24,779,659.50x = 53,146,543.50 × 53,146,543.50
  4. Step 4: Simplify right side
    24,779,659.50x = 2,824,555,085,997,392
  5. Step 5: Solve for x
    x = 2,824,555,085,997,392/24,779,659.50
  6. Step 6: Final answer
    x = 113,986,840.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.