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Finding the Third Proportional to 300,178,937,250 and 457,301,847,037.50

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Solution

The third proportional to 300,178,937,250 and 457,301,847,037.50 is: 696,667,731,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,178,937,250 : 457,301,847,037.50 = 457,301,847,037.50 : x
  2. Step 2: Convert to fraction form
    300,178,937,250/457,301,847,037.50 = 457,301,847,037.50/x
  3. Step 3: Cross multiply
    300,178,937,250x = 457,301,847,037.50 × 457,301,847,037.50
  4. Step 4: Simplify right side
    300,178,937,250x = 209,124,979,303,909,030,887,424
  5. Step 5: Solve for x
    x = 209,124,979,303,909,030,887,424/300,178,937,250
  6. Step 6: Final answer
    x = 696,667,731,652.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.