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Finding the Third Proportional to 301,861,248,547 and 646,126,829,126

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Solution

The third proportional to 301,861,248,547 and 646,126,829,126 is: 1,383,019,123,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861,248,547 : 646,126,829,126 = 646,126,829,126 : x
  2. Step 2: Convert to fraction form
    301,861,248,547/646,126,829,126 = 646,126,829,126/x
  3. Step 3: Cross multiply
    301,861,248,547x = 646,126,829,126 × 646,126,829,126
  4. Step 4: Simplify right side
    301,861,248,547x = 417,479,879,316,419,228,205,056
  5. Step 5: Solve for x
    x = 417,479,879,316,419,228,205,056/301,861,248,547
  6. Step 6: Final answer
    x = 1,383,019,123,275.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.