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Finding the Third Proportional to 21,095,199 and 31,698,967.50

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Solution

The third proportional to 21,095,199 and 31,698,967.50 is: 47,632,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095,199 : 31,698,967.50 = 31,698,967.50 : x
  2. Step 2: Convert to fraction form
    21,095,199/31,698,967.50 = 31,698,967.50/x
  3. Step 3: Cross multiply
    21,095,199x = 31,698,967.50 × 31,698,967.50
  4. Step 4: Simplify right side
    21,095,199x = 1,004,824,540,566,056.25
  5. Step 5: Solve for x
    x = 1,004,824,540,566,056.25/21,095,199
  6. Step 6: Final answer
    x = 47,632,854.31

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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.