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Finding the Third Proportional to 66,001,675.50 and 139,359,642.75

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Solution

The third proportional to 66,001,675.50 and 139,359,642.75 is: 294,251,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,001,675.50 : 139,359,642.75 = 139,359,642.75 : x
  2. Step 2: Convert to fraction form
    66,001,675.50/139,359,642.75 = 139,359,642.75/x
  3. Step 3: Cross multiply
    66,001,675.50x = 139,359,642.75 × 139,359,642.75
  4. Step 4: Simplify right side
    66,001,675.50x = 19,421,110,027,407,628
  5. Step 5: Solve for x
    x = 19,421,110,027,407,628/66,001,675.50
  6. Step 6: Final answer
    x = 294,251,772.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.