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Finding the Third Proportional to 30,357,529,134 and 45,357,729,160.50

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Solution

The third proportional to 30,357,529,134 and 45,357,729,160.50 is: 67,769,797,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357,529,134 : 45,357,729,160.50 = 45,357,729,160.50 : x
  2. Step 2: Convert to fraction form
    30,357,529,134/45,357,729,160.50 = 45,357,729,160.50/x
  3. Step 3: Cross multiply
    30,357,529,134x = 45,357,729,160.50 × 45,357,729,160.50
  4. Step 4: Simplify right side
    30,357,529,134x = 2,057,323,594,597,272,125,440
  5. Step 5: Solve for x
    x = 2,057,323,594,597,272,125,440/30,357,529,134
  6. Step 6: Final answer
    x = 67,769,797,255.77

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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.