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Finding the Third Proportional to 4,974,769 and 10,547,384

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Solution

The third proportional to 4,974,769 and 10,547,384 is: 22,362,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974,769 : 10,547,384 = 10,547,384 : x
  2. Step 2: Convert to fraction form
    4,974,769/10,547,384 = 10,547,384/x
  3. Step 3: Cross multiply
    4,974,769x = 10,547,384 × 10,547,384
  4. Step 4: Simplify right side
    4,974,769x = 111,247,309,243,456
  5. Step 5: Solve for x
    x = 111,247,309,243,456/4,974,769
  6. Step 6: Final answer
    x = 22,362,306.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.