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Finding the Third Proportional to 2,284,886,808 and 4,975,408,362

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Solution

The third proportional to 2,284,886,808 and 4,975,408,362 is: 10,834,098,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,886,808 : 4,975,408,362 = 4,975,408,362 : x
  2. Step 2: Convert to fraction form
    2,284,886,808/4,975,408,362 = 4,975,408,362/x
  3. Step 3: Cross multiply
    2,284,886,808x = 4,975,408,362 × 4,975,408,362
  4. Step 4: Simplify right side
    2,284,886,808x = 24,754,688,368,659,521,536
  5. Step 5: Solve for x
    x = 24,754,688,368,659,521,536/2,284,886,808
  6. Step 6: Final answer
    x = 10,834,098,337.82

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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.