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Finding the Third Proportional to 6,106,038 and 9,445,999.50

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Solution

The third proportional to 6,106,038 and 9,445,999.50 is: 14,612,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106,038 : 9,445,999.50 = 9,445,999.50 : x
  2. Step 2: Convert to fraction form
    6,106,038/9,445,999.50 = 9,445,999.50/x
  3. Step 3: Cross multiply
    6,106,038x = 9,445,999.50 × 9,445,999.50
  4. Step 4: Simplify right side
    6,106,038x = 89,226,906,554,000.25
  5. Step 5: Solve for x
    x = 89,226,906,554,000.25/6,106,038
  6. Step 6: Final answer
    x = 14,612,897.36

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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.