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Finding the Third Proportional to 458,724,766,992 and 637,820,121,342

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Solution

The third proportional to 458,724,766,992 and 637,820,121,342 is: 886,837,895,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,724,766,992 : 637,820,121,342 = 637,820,121,342 : x
  2. Step 2: Convert to fraction form
    458,724,766,992/637,820,121,342 = 637,820,121,342/x
  3. Step 3: Cross multiply
    458,724,766,992x = 637,820,121,342 × 637,820,121,342
  4. Step 4: Simplify right side
    458,724,766,992x = 406,814,507,188,723,633,881,088
  5. Step 5: Solve for x
    x = 406,814,507,188,723,633,881,088/458,724,766,992
  6. Step 6: Final answer
    x = 886,837,895,970.46

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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.