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Finding the Third Proportional to 10,313,439 and 21,856,291.50

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Solution

The third proportional to 10,313,439 and 21,856,291.50 is: 46,317,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,439 : 21,856,291.50 = 21,856,291.50 : x
  2. Step 2: Convert to fraction form
    10,313,439/21,856,291.50 = 21,856,291.50/x
  3. Step 3: Cross multiply
    10,313,439x = 21,856,291.50 × 21,856,291.50
  4. Step 4: Simplify right side
    10,313,439x = 477,697,478,132,972.25
  5. Step 5: Solve for x
    x = 477,697,478,132,972.25/10,313,439
  6. Step 6: Final answer
    x = 46,317,962.24

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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.