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Finding the Third Proportional to 9,046,444.50 and 19,510,024.50

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Solution

The third proportional to 9,046,444.50 and 19,510,024.50 is: 42,076,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046,444.50 : 19,510,024.50 = 19,510,024.50 : x
  2. Step 2: Convert to fraction form
    9,046,444.50/19,510,024.50 = 19,510,024.50/x
  3. Step 3: Cross multiply
    9,046,444.50x = 19,510,024.50 × 19,510,024.50
  4. Step 4: Simplify right side
    9,046,444.50x = 380,641,055,990,600.25
  5. Step 5: Solve for x
    x = 380,641,055,990,600.25/9,046,444.50
  6. Step 6: Final answer
    x = 42,076,315.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.