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Finding the Third Proportional to 9,116,152.59 and 13,905,747.14

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Solution

The third proportional to 9,116,152.59 and 13,905,747.14 is: 21,211,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116,152.59 : 13,905,747.14 = 13,905,747.14 : x
  2. Step 2: Convert to fraction form
    9,116,152.59/13,905,747.14 = 13,905,747.14/x
  3. Step 3: Cross multiply
    9,116,152.59x = 13,905,747.14 × 13,905,747.14
  4. Step 4: Simplify right side
    9,116,152.59x = 193,369,803,539,000.38
  5. Step 5: Solve for x
    x = 193,369,803,539,000.38/9,116,152.59
  6. Step 6: Final answer
    x = 21,211,777.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.