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Finding the Third Proportional to 66,350,247,502.50 and 146,224,788,309

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Solution

The third proportional to 66,350,247,502.50 and 146,224,788,309 is: 322,254,844,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,247,502.50 : 146,224,788,309 = 146,224,788,309 : x
  2. Step 2: Convert to fraction form
    66,350,247,502.50/146,224,788,309 = 146,224,788,309/x
  3. Step 3: Cross multiply
    66,350,247,502.50x = 146,224,788,309 × 146,224,788,309
  4. Step 4: Simplify right side
    66,350,247,502.50x = 21,381,688,716,011,864,326,144
  5. Step 5: Solve for x
    x = 21,381,688,716,011,864,326,144/66,350,247,502.50
  6. Step 6: Final answer
    x = 322,254,844,870.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.