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Finding the Third Proportional to 10,348,473.94 and 22,509,014.06

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Solution

The third proportional to 10,348,473.94 and 22,509,014.06 is: 48,959,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,473.94 : 22,509,014.06 = 22,509,014.06 : x
  2. Step 2: Convert to fraction form
    10,348,473.94/22,509,014.06 = 22,509,014.06/x
  3. Step 3: Cross multiply
    10,348,473.94x = 22,509,014.06 × 22,509,014.06
  4. Step 4: Simplify right side
    10,348,473.94x = 506,655,714,065,822.75
  5. Step 5: Solve for x
    x = 506,655,714,065,822.75/10,348,473.94
  6. Step 6: Final answer
    x = 48,959,461.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.