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Finding the Third Proportional to 4,531,948 and 9,807,368

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Solution

The third proportional to 4,531,948 and 9,807,368 is: 21,223,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531,948 : 9,807,368 = 9,807,368 : x
  2. Step 2: Convert to fraction form
    4,531,948/9,807,368 = 9,807,368/x
  3. Step 3: Cross multiply
    4,531,948x = 9,807,368 × 9,807,368
  4. Step 4: Simplify right side
    4,531,948x = 96,184,467,087,424
  5. Step 5: Solve for x
    x = 96,184,467,087,424/4,531,948
  6. Step 6: Final answer
    x = 21,223,647.55

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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.