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Finding the Third Proportional to 9,894,368 and 15,135,804.63

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Solution

The third proportional to 9,894,368 and 15,135,804.63 is: 23,153,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,368 : 15,135,804.63 = 15,135,804.63 : x
  2. Step 2: Convert to fraction form
    9,894,368/15,135,804.63 = 15,135,804.63/x
  3. Step 3: Cross multiply
    9,894,368x = 15,135,804.63 × 15,135,804.63
  4. Step 4: Simplify right side
    9,894,368x = 229,092,581,646,171.38
  5. Step 5: Solve for x
    x = 229,092,581,646,171.38/9,894,368
  6. Step 6: Final answer
    x = 23,153,836.77

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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.