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Finding the Third Proportional to 10,832,973 and 16,827,925.50

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Solution

The third proportional to 10,832,973 and 16,827,925.50 is: 26,140,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832,973 : 16,827,925.50 = 16,827,925.50 : x
  2. Step 2: Convert to fraction form
    10,832,973/16,827,925.50 = 16,827,925.50/x
  3. Step 3: Cross multiply
    10,832,973x = 16,827,925.50 × 16,827,925.50
  4. Step 4: Simplify right side
    10,832,973x = 283,179,076,633,550.25
  5. Step 5: Solve for x
    x = 283,179,076,633,550.25/10,832,973
  6. Step 6: Final answer
    x = 26,140,476.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.