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Finding the Third Proportional to 4,648,243 and 10,119,597

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Solution

The third proportional to 4,648,243 and 10,119,597 is: 22,031,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,243 : 10,119,597 = 10,119,597 : x
  2. Step 2: Convert to fraction form
    4,648,243/10,119,597 = 10,119,597/x
  3. Step 3: Cross multiply
    4,648,243x = 10,119,597 × 10,119,597
  4. Step 4: Simplify right side
    4,648,243x = 102,406,243,442,409
  5. Step 5: Solve for x
    x = 102,406,243,442,409/4,648,243
  6. Step 6: Final answer
    x = 22,031,172.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.