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Finding the Third Proportional to 46,486,610 and 101,343,427.50

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Solution

The third proportional to 46,486,610 and 101,343,427.50 is: 220,934,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486,610 : 101,343,427.50 = 101,343,427.50 : x
  2. Step 2: Convert to fraction form
    46,486,610/101,343,427.50 = 101,343,427.50/x
  3. Step 3: Cross multiply
    46,486,610x = 101,343,427.50 × 101,343,427.50
  4. Step 4: Simplify right side
    46,486,610x = 10,270,490,297,447,756
  5. Step 5: Solve for x
    x = 10,270,490,297,447,756/46,486,610
  6. Step 6: Final answer
    x = 220,934,378.68

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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.