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Finding the Third Proportional to 335,898,123,723 and 740,262,982,038

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Solution

The third proportional to 335,898,123,723 and 740,262,982,038 is: 1,631,415,134,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,898,123,723 : 740,262,982,038 = 740,262,982,038 : x
  2. Step 2: Convert to fraction form
    335,898,123,723/740,262,982,038 = 740,262,982,038/x
  3. Step 3: Cross multiply
    335,898,123,723x = 740,262,982,038 × 740,262,982,038
  4. Step 4: Simplify right side
    335,898,123,723x = 547,989,282,575,792,310,583,296
  5. Step 5: Solve for x
    x = 547,989,282,575,792,310,583,296/335,898,123,723
  6. Step 6: Final answer
    x = 1,631,415,134,154.47

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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.