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Finding the Third Proportional to 5,886,204.19 and 8,596,383.19

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Solution

The third proportional to 5,886,204.19 and 8,596,383.19 is: 12,554,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886,204.19 : 8,596,383.19 = 8,596,383.19 : x
  2. Step 2: Convert to fraction form
    5,886,204.19/8,596,383.19 = 8,596,383.19/x
  3. Step 3: Cross multiply
    5,886,204.19x = 8,596,383.19 × 8,596,383.19
  4. Step 4: Simplify right side
    5,886,204.19x = 73,897,803,906,332.66
  5. Step 5: Solve for x
    x = 73,897,803,906,332.66/5,886,204.19
  6. Step 6: Final answer
    x = 12,554,407.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.