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Finding the Third Proportional to 348,674,846.63 and 758,638,352.11

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Solution

The third proportional to 348,674,846.63 and 758,638,352.11 is: 1,650,627,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,674,846.63 : 758,638,352.11 = 758,638,352.11 : x
  2. Step 2: Convert to fraction form
    348,674,846.63/758,638,352.11 = 758,638,352.11/x
  3. Step 3: Cross multiply
    348,674,846.63x = 758,638,352.11 × 758,638,352.11
  4. Step 4: Simplify right side
    348,674,846.63x = 575,532,149,291,235,648
  5. Step 5: Solve for x
    x = 575,532,149,291,235,648/348,674,846.63
  6. Step 6: Final answer
    x = 1,650,627,095.31

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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.