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Finding the Third Proportional to 8,411,306.63 and 12,602,967.19

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Solution

The third proportional to 8,411,306.63 and 12,602,967.19 is: 18,883,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411,306.63 : 12,602,967.19 = 12,602,967.19 : x
  2. Step 2: Convert to fraction form
    8,411,306.63/12,602,967.19 = 12,602,967.19/x
  3. Step 3: Cross multiply
    8,411,306.63x = 12,602,967.19 × 12,602,967.19
  4. Step 4: Simplify right side
    8,411,306.63x = 158,834,781,929,201.66
  5. Step 5: Solve for x
    x = 158,834,781,929,201.66/8,411,306.63
  6. Step 6: Final answer
    x = 18,883,484.93

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Why These Related Problems?

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