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Finding the Third Proportional to 7,845,924 and 16,930,415

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Solution

The third proportional to 7,845,924 and 16,930,415 is: 36,533,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845,924 : 16,930,415 = 16,930,415 : x
  2. Step 2: Convert to fraction form
    7,845,924/16,930,415 = 16,930,415/x
  3. Step 3: Cross multiply
    7,845,924x = 16,930,415 × 16,930,415
  4. Step 4: Simplify right side
    7,845,924x = 286,638,952,072,225
  5. Step 5: Solve for x
    x = 286,638,952,072,225/7,845,924
  6. Step 6: Final answer
    x = 36,533,485.68

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