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Finding the Third Proportional to 458,724,765,608 and 637,820,119,488

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Solution

The third proportional to 458,724,765,608 and 637,820,119,488 is: 886,837,893,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,724,765,608 : 637,820,119,488 = 637,820,119,488 : x
  2. Step 2: Convert to fraction form
    458,724,765,608/637,820,119,488 = 637,820,119,488/x
  3. Step 3: Cross multiply
    458,724,765,608x = 637,820,119,488 × 637,820,119,488
  4. Step 4: Simplify right side
    458,724,765,608x = 406,814,504,823,686,604,783,616
  5. Step 5: Solve for x
    x = 406,814,504,823,686,604,783,616/458,724,765,608
  6. Step 6: Final answer
    x = 886,837,893,490.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.