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Finding the Third Proportional to 21,095,079 and 31,698,784.50

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Solution

The third proportional to 21,095,079 and 31,698,784.50 is: 47,632,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095,079 : 31,698,784.50 = 31,698,784.50 : x
  2. Step 2: Convert to fraction form
    21,095,079/31,698,784.50 = 31,698,784.50/x
  3. Step 3: Cross multiply
    21,095,079x = 31,698,784.50 × 31,698,784.50
  4. Step 4: Simplify right side
    21,095,079x = 1,004,812,938,777,440.25
  5. Step 5: Solve for x
    x = 1,004,812,938,777,440.25/21,095,079
  6. Step 6: Final answer
    x = 47,632,575.29

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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.