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Finding the Third Proportional to 7,845,920 and 16,930,410

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Solution

The third proportional to 7,845,920 and 16,930,410 is: 36,533,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845,920 : 16,930,410 = 16,930,410 : x
  2. Step 2: Convert to fraction form
    7,845,920/16,930,410 = 16,930,410/x
  3. Step 3: Cross multiply
    7,845,920x = 16,930,410 × 16,930,410
  4. Step 4: Simplify right side
    7,845,920x = 286,638,782,768,100
  5. Step 5: Solve for x
    x = 286,638,782,768,100/7,845,920
  6. Step 6: Final answer
    x = 36,533,482.72

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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.