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Finding the Third Proportional to 7,735,516 and 16,106,746

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Solution

The third proportional to 7,735,516 and 16,106,746 is: 33,537,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,516 : 16,106,746 = 16,106,746 : x
  2. Step 2: Convert to fraction form
    7,735,516/16,106,746 = 16,106,746/x
  3. Step 3: Cross multiply
    7,735,516x = 16,106,746 × 16,106,746
  4. Step 4: Simplify right side
    7,735,516x = 259,427,266,708,516
  5. Step 5: Solve for x
    x = 259,427,266,708,516/7,735,516
  6. Step 6: Final answer
    x = 33,537,163.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.