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Finding the Third Proportional to 358,957,822 and 780,808,472

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Solution

The third proportional to 358,957,822 and 780,808,472 is: 1,698,422,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,957,822 : 780,808,472 = 780,808,472 : x
  2. Step 2: Convert to fraction form
    358,957,822/780,808,472 = 780,808,472/x
  3. Step 3: Cross multiply
    358,957,822x = 780,808,472 × 780,808,472
  4. Step 4: Simplify right side
    358,957,822x = 609,661,869,946,974,720
  5. Step 5: Solve for x
    x = 609,661,869,946,974,720/358,957,822
  6. Step 6: Final answer
    x = 1,698,422,022.26

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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.