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Finding the Third Proportional to 31,946,751 and 69,938,646.75

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Solution

The third proportional to 31,946,751 and 69,938,646.75 is: 153,111,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946,751 : 69,938,646.75 = 69,938,646.75 : x
  2. Step 2: Convert to fraction form
    31,946,751/69,938,646.75 = 69,938,646.75/x
  3. Step 3: Cross multiply
    31,946,751x = 69,938,646.75 × 69,938,646.75
  4. Step 4: Simplify right side
    31,946,751x = 4,891,414,309,221,286
  5. Step 5: Solve for x
    x = 4,891,414,309,221,286/31,946,751
  6. Step 6: Final answer
    x = 153,111,479.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.