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Finding the Third Proportional to 7,506,616 and 16,402,729

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Solution

The third proportional to 7,506,616 and 16,402,729 is: 35,841,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506,616 : 16,402,729 = 16,402,729 : x
  2. Step 2: Convert to fraction form
    7,506,616/16,402,729 = 16,402,729/x
  3. Step 3: Cross multiply
    7,506,616x = 16,402,729 × 16,402,729
  4. Step 4: Simplify right side
    7,506,616x = 269,049,518,647,441
  5. Step 5: Solve for x
    x = 269,049,518,647,441/7,506,616
  6. Step 6: Final answer
    x = 35,841,652.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.