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Finding the Third Proportional to 7,862,491 and 16,818,004.50

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Solution

The third proportional to 7,862,491 and 16,818,004.50 is: 35,974,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,491 : 16,818,004.50 = 16,818,004.50 : x
  2. Step 2: Convert to fraction form
    7,862,491/16,818,004.50 = 16,818,004.50/x
  3. Step 3: Cross multiply
    7,862,491x = 16,818,004.50 × 16,818,004.50
  4. Step 4: Simplify right side
    7,862,491x = 282,845,275,362,020.25
  5. Step 5: Solve for x
    x = 282,845,275,362,020.25/7,862,491
  6. Step 6: Final answer
    x = 35,974,003.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.