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Finding the Third Proportional to 10,313,499 and 21,856,389

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Solution

The third proportional to 10,313,499 and 21,856,389 is: 46,318,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,499 : 21,856,389 = 21,856,389 : x
  2. Step 2: Convert to fraction form
    10,313,499/21,856,389 = 21,856,389/x
  3. Step 3: Cross multiply
    10,313,499x = 21,856,389 × 21,856,389
  4. Step 4: Simplify right side
    10,313,499x = 477,701,740,119,321
  5. Step 5: Solve for x
    x = 477,701,740,119,321/10,313,499
  6. Step 6: Final answer
    x = 46,318,106.02

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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.