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Finding the Third Proportional to 434,428,082,820 and 935,250,300,072

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Solution

The third proportional to 434,428,082,820 and 935,250,300,072 is: 2,013,435,959,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,428,082,820 : 935,250,300,072 = 935,250,300,072 : x
  2. Step 2: Convert to fraction form
    434,428,082,820/935,250,300,072 = 935,250,300,072/x
  3. Step 3: Cross multiply
    434,428,082,820x = 935,250,300,072 × 935,250,300,072
  4. Step 4: Simplify right side
    434,428,082,820x = 874,693,123,784,766,033,756,160
  5. Step 5: Solve for x
    x = 874,693,123,784,766,033,756,160/434,428,082,820
  6. Step 6: Final answer
    x = 2,013,435,959,542.20

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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.