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Finding the Third Proportional to 7,845,922 and 16,930,411

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Solution

The third proportional to 7,845,922 and 16,930,411 is: 36,533,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845,922 : 16,930,411 = 16,930,411 : x
  2. Step 2: Convert to fraction form
    7,845,922/16,930,411 = 16,930,411/x
  3. Step 3: Cross multiply
    7,845,922x = 16,930,411 × 16,930,411
  4. Step 4: Simplify right side
    7,845,922x = 286,638,816,628,921
  5. Step 5: Solve for x
    x = 286,638,816,628,921/7,845,922
  6. Step 6: Final answer
    x = 36,533,477.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.