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Finding the Third Proportional to 359,887,281,186 and 749,562,220,968

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Solution

The third proportional to 359,887,281,186 and 749,562,220,968 is: 1,561,165,266,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887,281,186 : 749,562,220,968 = 749,562,220,968 : x
  2. Step 2: Convert to fraction form
    359,887,281,186/749,562,220,968 = 749,562,220,968/x
  3. Step 3: Cross multiply
    359,887,281,186x = 749,562,220,968 × 749,562,220,968
  4. Step 4: Simplify right side
    359,887,281,186x = 561,843,523,102,480,864,903,168
  5. Step 5: Solve for x
    x = 561,843,523,102,480,864,903,168/359,887,281,186
  6. Step 6: Final answer
    x = 1,561,165,266,110.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.