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Finding the Third Proportional to 66,350,247,552 and 146,224,788,421

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Solution

The third proportional to 66,350,247,552 and 146,224,788,421 is: 322,254,845,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,247,552 : 146,224,788,421 = 146,224,788,421 : x
  2. Step 2: Convert to fraction form
    66,350,247,552/146,224,788,421 = 146,224,788,421/x
  3. Step 3: Cross multiply
    66,350,247,552x = 146,224,788,421 × 146,224,788,421
  4. Step 4: Simplify right side
    66,350,247,552x = 21,381,688,748,766,216,060,928
  5. Step 5: Solve for x
    x = 21,381,688,748,766,216,060,928/66,350,247,552
  6. Step 6: Final answer
    x = 322,254,845,123.36

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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.