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Finding the Third Proportional to 9,446,764 and 15,038,946

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Solution

The third proportional to 9,446,764 and 15,038,946 is: 23,941,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446,764 : 15,038,946 = 15,038,946 : x
  2. Step 2: Convert to fraction form
    9,446,764/15,038,946 = 15,038,946/x
  3. Step 3: Cross multiply
    9,446,764x = 15,038,946 × 15,038,946
  4. Step 4: Simplify right side
    9,446,764x = 226,169,896,790,916
  5. Step 5: Solve for x
    x = 226,169,896,790,916/9,446,764
  6. Step 6: Final answer
    x = 23,941,520.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.