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Finding the Third Proportional to 47,997,454 and 103,656,243

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Solution

The third proportional to 47,997,454 and 103,656,243 is: 223,858,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,454 : 103,656,243 = 103,656,243 : x
  2. Step 2: Convert to fraction form
    47,997,454/103,656,243 = 103,656,243/x
  3. Step 3: Cross multiply
    47,997,454x = 103,656,243 × 103,656,243
  4. Step 4: Simplify right side
    47,997,454x = 10,744,616,712,875,048
  5. Step 5: Solve for x
    x = 10,744,616,712,875,048/47,997,454
  6. Step 6: Final answer
    x = 223,858,055.32

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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.