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Finding the Third Proportional to 8,032,842 and 17,657,820

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Solution

The third proportional to 8,032,842 and 17,657,820 is: 38,815,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,842 : 17,657,820 = 17,657,820 : x
  2. Step 2: Convert to fraction form
    8,032,842/17,657,820 = 17,657,820/x
  3. Step 3: Cross multiply
    8,032,842x = 17,657,820 × 17,657,820
  4. Step 4: Simplify right side
    8,032,842x = 311,798,607,152,400
  5. Step 5: Solve for x
    x = 311,798,607,152,400/8,032,842
  6. Step 6: Final answer
    x = 38,815,478.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.