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Finding the Third Proportional to 597,152,213,103 and 1,316,023,065,467

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Solution

The third proportional to 597,152,213,103 and 1,316,023,065,467 is: 2,900,293,544,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,152,213,103 : 1,316,023,065,467 = 1,316,023,065,467 : x
  2. Step 2: Convert to fraction form
    597,152,213,103/1,316,023,065,467 = 1,316,023,065,467/x
  3. Step 3: Cross multiply
    597,152,213,103x = 1,316,023,065,467 × 1,316,023,065,467
  4. Step 4: Simplify right side
    597,152,213,103x = 1,731,916,708,841,159,770,767,360
  5. Step 5: Solve for x
    x = 1,731,916,708,841,159,770,767,360/597,152,213,103
  6. Step 6: Final answer
    x = 2,900,293,544,658.49

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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.