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Finding the Third Proportional to 31,070,096 and 46,605,126.50

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Solution

The third proportional to 31,070,096 and 46,605,126.50 is: 69,907,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070,096 : 46,605,126.50 = 46,605,126.50 : x
  2. Step 2: Convert to fraction form
    31,070,096/46,605,126.50 = 46,605,126.50/x
  3. Step 3: Cross multiply
    31,070,096x = 46,605,126.50 × 46,605,126.50
  4. Step 4: Simplify right side
    31,070,096x = 2,172,037,816,081,002.25
  5. Step 5: Solve for x
    x = 2,172,037,816,081,002.25/31,070,096
  6. Step 6: Final answer
    x = 69,907,663.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.