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Finding the Third Proportional to 66,281,364 and 144,035,769

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Solution

The third proportional to 66,281,364 and 144,035,769 is: 313,003,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281,364 : 144,035,769 = 144,035,769 : x
  2. Step 2: Convert to fraction form
    66,281,364/144,035,769 = 144,035,769/x
  3. Step 3: Cross multiply
    66,281,364x = 144,035,769 × 144,035,769
  4. Step 4: Simplify right side
    66,281,364x = 20,746,302,751,421,360
  5. Step 5: Solve for x
    x = 20,746,302,751,421,360/66,281,364
  6. Step 6: Final answer
    x = 313,003,557.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.