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Finding the Third Proportional to 52,457,628,038 and 80,581,333,125

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Solution

The third proportional to 52,457,628,038 and 80,581,333,125 is: 123,782,784,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,457,628,038 : 80,581,333,125 = 80,581,333,125 : x
  2. Step 2: Convert to fraction form
    52,457,628,038/80,581,333,125 = 80,581,333,125/x
  3. Step 3: Cross multiply
    52,457,628,038x = 80,581,333,125 × 80,581,333,125
  4. Step 4: Simplify right side
    52,457,628,038x = 6,493,351,248,202,221,748,224
  5. Step 5: Solve for x
    x = 6,493,351,248,202,221,748,224/52,457,628,038
  6. Step 6: Final answer
    x = 123,782,784,145.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.