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Finding the Third Proportional to 508,858,011 and 1,102,212,483.75

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Solution

The third proportional to 508,858,011 and 1,102,212,483.75 is: 2,387,448,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,858,011 : 1,102,212,483.75 = 1,102,212,483.75 : x
  2. Step 2: Convert to fraction form
    508,858,011/1,102,212,483.75 = 1,102,212,483.75/x
  3. Step 3: Cross multiply
    508,858,011x = 1,102,212,483.75 × 1,102,212,483.75
  4. Step 4: Simplify right side
    508,858,011x = 1,214,872,359,334,343,936
  5. Step 5: Solve for x
    x = 1,214,872,359,334,343,936/508,858,011
  6. Step 6: Final answer
    x = 2,387,448,626.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.