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Finding the Third Proportional to 62,110,827 and 130,646,965.50

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Solution

The third proportional to 62,110,827 and 130,646,965.50 is: 274,809,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,110,827 : 130,646,965.50 = 130,646,965.50 : x
  2. Step 2: Convert to fraction form
    62,110,827/130,646,965.50 = 130,646,965.50/x
  3. Step 3: Cross multiply
    62,110,827x = 130,646,965.50 × 130,646,965.50
  4. Step 4: Simplify right side
    62,110,827x = 17,068,629,594,358,190
  5. Step 5: Solve for x
    x = 17,068,629,594,358,190/62,110,827
  6. Step 6: Final answer
    x = 274,809,246.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.