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Finding the Third Proportional to 7,683,386.63 and 16,456,101.75

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Solution

The third proportional to 7,683,386.63 and 16,456,101.75 is: 35,245,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683,386.63 : 16,456,101.75 = 16,456,101.75 : x
  2. Step 2: Convert to fraction form
    7,683,386.63/16,456,101.75 = 16,456,101.75/x
  3. Step 3: Cross multiply
    7,683,386.63x = 16,456,101.75 × 16,456,101.75
  4. Step 4: Simplify right side
    7,683,386.63x = 270,803,284,806,353.06
  5. Step 5: Solve for x
    x = 270,803,284,806,353.06/7,683,386.63
  6. Step 6: Final answer
    x = 35,245,302.37

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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.