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Finding the Third Proportional to 659,307,113,106 and 1,428,145,262,595

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Solution

The third proportional to 659,307,113,106 and 1,428,145,262,595 is: 3,093,549,046,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,307,113,106 : 1,428,145,262,595 = 1,428,145,262,595 : x
  2. Step 2: Convert to fraction form
    659,307,113,106/1,428,145,262,595 = 1,428,145,262,595/x
  3. Step 3: Cross multiply
    659,307,113,106x = 1,428,145,262,595 × 1,428,145,262,595
  4. Step 4: Simplify right side
    659,307,113,106x = 2,039,598,891,072,541,480,189,952
  5. Step 5: Solve for x
    x = 2,039,598,891,072,541,480,189,952/659,307,113,106
  6. Step 6: Final answer
    x = 3,093,549,046,458.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.