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Finding the Third Proportional to 51,779,997 and 111,629,965.50

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Solution

The third proportional to 51,779,997 and 111,629,965.50 is: 240,657,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,779,997 : 111,629,965.50 = 111,629,965.50 : x
  2. Step 2: Convert to fraction form
    51,779,997/111,629,965.50 = 111,629,965.50/x
  3. Step 3: Cross multiply
    51,779,997x = 111,629,965.50 × 111,629,965.50
  4. Step 4: Simplify right side
    51,779,997x = 12,461,249,197,531,190
  5. Step 5: Solve for x
    x = 12,461,249,197,531,190/51,779,997
  6. Step 6: Final answer
    x = 240,657,588.25

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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.