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Finding the Third Proportional to 325,723,136 and 709,973,632

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Solution

The third proportional to 325,723,136 and 709,973,632 is: 1,547,518,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,723,136 : 709,973,632 = 709,973,632 : x
  2. Step 2: Convert to fraction form
    325,723,136/709,973,632 = 709,973,632/x
  3. Step 3: Cross multiply
    325,723,136x = 709,973,632 × 709,973,632
  4. Step 4: Simplify right side
    325,723,136x = 504,062,558,135,271,424
  5. Step 5: Solve for x
    x = 504,062,558,135,271,424/325,723,136
  6. Step 6: Final answer
    x = 1,547,518,436.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.