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Finding the Third Proportional to 4,114,740.94 and 9,043,970.63

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Solution

The third proportional to 4,114,740.94 and 9,043,970.63 is: 19,878,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114,740.94 : 9,043,970.63 = 9,043,970.63 : x
  2. Step 2: Convert to fraction form
    4,114,740.94/9,043,970.63 = 9,043,970.63/x
  3. Step 3: Cross multiply
    4,114,740.94x = 9,043,970.63 × 9,043,970.63
  4. Step 4: Simplify right side
    4,114,740.94x = 81,793,404,665,862.89
  5. Step 5: Solve for x
    x = 81,793,404,665,862.89/4,114,740.94
  6. Step 6: Final answer
    x = 19,878,142.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.