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Finding the Third Proportional to 9,243,585 and 13,523,058

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Solution

The third proportional to 9,243,585 and 13,523,058 is: 19,783,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243,585 : 13,523,058 = 13,523,058 : x
  2. Step 2: Convert to fraction form
    9,243,585/13,523,058 = 13,523,058/x
  3. Step 3: Cross multiply
    9,243,585x = 13,523,058 × 13,523,058
  4. Step 4: Simplify right side
    9,243,585x = 182,873,097,671,364
  5. Step 5: Solve for x
    x = 182,873,097,671,364/9,243,585
  6. Step 6: Final answer
    x = 19,783,784.94

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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.