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Finding the Third Proportional to 2,284,886,812.50 and 4,975,408,363.50

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Solution

The third proportional to 2,284,886,812.50 and 4,975,408,363.50 is: 10,834,098,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,886,812.50 : 4,975,408,363.50 = 4,975,408,363.50 : x
  2. Step 2: Convert to fraction form
    2,284,886,812.50/4,975,408,363.50 = 4,975,408,363.50/x
  3. Step 3: Cross multiply
    2,284,886,812.50x = 4,975,408,363.50 × 4,975,408,363.50
  4. Step 4: Simplify right side
    2,284,886,812.50x = 24,754,688,383,585,746,944
  5. Step 5: Solve for x
    x = 24,754,688,383,585,746,944/2,284,886,812.50
  6. Step 6: Final answer
    x = 10,834,098,323.02

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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.