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Finding the Third Proportional to 7,765,017 and 16,525,854

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Solution

The third proportional to 7,765,017 and 16,525,854 is: 35,171,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,017 : 16,525,854 = 16,525,854 : x
  2. Step 2: Convert to fraction form
    7,765,017/16,525,854 = 16,525,854/x
  3. Step 3: Cross multiply
    7,765,017x = 16,525,854 × 16,525,854
  4. Step 4: Simplify right side
    7,765,017x = 273,103,850,429,316
  5. Step 5: Solve for x
    x = 273,103,850,429,316/7,765,017
  6. Step 6: Final answer
    x = 35,171,056.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.