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Finding the Third Proportional to 343,939,237,563 and 512,926,254,717.75

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Solution

The third proportional to 343,939,237,563 and 512,926,254,717.75 is: 764,941,344,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,939,237,563 : 512,926,254,717.75 = 512,926,254,717.75 : x
  2. Step 2: Convert to fraction form
    343,939,237,563/512,926,254,717.75 = 512,926,254,717.75/x
  3. Step 3: Cross multiply
    343,939,237,563x = 512,926,254,717.75 × 512,926,254,717.75
  4. Step 4: Simplify right side
    343,939,237,563x = 263,093,342,778,778,152,075,264
  5. Step 5: Solve for x
    x = 263,093,342,778,778,152,075,264/343,939,237,563
  6. Step 6: Final answer
    x = 764,941,344,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.