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Finding the Third Proportional to 9,977,946 and 21,552,558

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Solution

The third proportional to 9,977,946 and 21,552,558 is: 46,553,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977,946 : 21,552,558 = 21,552,558 : x
  2. Step 2: Convert to fraction form
    9,977,946/21,552,558 = 21,552,558/x
  3. Step 3: Cross multiply
    9,977,946x = 21,552,558 × 21,552,558
  4. Step 4: Simplify right side
    9,977,946x = 464,512,756,343,364
  5. Step 5: Solve for x
    x = 464,512,756,343,364/9,977,946
  6. Step 6: Final answer
    x = 46,553,945.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.