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Finding the Third Proportional to 151,429,509,031 and 327,037,145,486

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Solution

The third proportional to 151,429,509,031 and 327,037,145,486 is: 706,290,968,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429,509,031 : 327,037,145,486 = 327,037,145,486 : x
  2. Step 2: Convert to fraction form
    151,429,509,031/327,037,145,486 = 327,037,145,486/x
  3. Step 3: Cross multiply
    151,429,509,031x = 327,037,145,486 × 327,037,145,486
  4. Step 4: Simplify right side
    151,429,509,031x = 106,953,294,527,631,137,439,744
  5. Step 5: Solve for x
    x = 106,953,294,527,631,137,439,744/151,429,509,031
  6. Step 6: Final answer
    x = 706,290,968,068.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.