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Finding the Third Proportional to 8,411,215.25 and 12,602,780.50

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Solution

The third proportional to 8,411,215.25 and 12,602,780.50 is: 18,883,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411,215.25 : 12,602,780.50 = 12,602,780.50 : x
  2. Step 2: Convert to fraction form
    8,411,215.25/12,602,780.50 = 12,602,780.50/x
  3. Step 3: Cross multiply
    8,411,215.25x = 12,602,780.50 × 12,602,780.50
  4. Step 4: Simplify right side
    8,411,215.25x = 158,830,076,331,180.25
  5. Step 5: Solve for x
    x = 158,830,076,331,180.25/8,411,215.25
  6. Step 6: Final answer
    x = 18,883,130.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.