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Finding the Third Proportional to 64,979,136 and 97,481,376

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Solution

The third proportional to 64,979,136 and 97,481,376 is: 146,241,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,979,136 : 97,481,376 = 97,481,376 : x
  2. Step 2: Convert to fraction form
    64,979,136/97,481,376 = 97,481,376/x
  3. Step 3: Cross multiply
    64,979,136x = 97,481,376 × 97,481,376
  4. Step 4: Simplify right side
    64,979,136x = 9,502,618,666,853,376
  5. Step 5: Solve for x
    x = 9,502,618,666,853,376/64,979,136
  6. Step 6: Final answer
    x = 146,241,074.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.