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Finding the Third Proportional to 303,669,874,600.88 and 653,041,017,996.75

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Solution

The third proportional to 303,669,874,600.88 and 653,041,017,996.75 is: 1,404,362,456,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669,874,600.88 : 653,041,017,996.75 = 653,041,017,996.75 : x
  2. Step 2: Convert to fraction form
    303,669,874,600.88/653,041,017,996.75 = 653,041,017,996.75/x
  3. Step 3: Cross multiply
    303,669,874,600.88x = 653,041,017,996.75 × 653,041,017,996.75
  4. Step 4: Simplify right side
    303,669,874,600.88x = 426,462,571,186,231,535,730,688
  5. Step 5: Solve for x
    x = 426,462,571,186,231,535,730,688/303,669,874,600.88
  6. Step 6: Final answer
    x = 1,404,362,456,917.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.