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Finding the Third Proportional to 425,430,822 and 925,401,516

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Solution

The third proportional to 425,430,822 and 925,401,516 is: 2,012,942,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,430,822 : 925,401,516 = 925,401,516 : x
  2. Step 2: Convert to fraction form
    425,430,822/925,401,516 = 925,401,516/x
  3. Step 3: Cross multiply
    425,430,822x = 925,401,516 × 925,401,516
  4. Step 4: Simplify right side
    425,430,822x = 856,367,965,815,098,240
  5. Step 5: Solve for x
    x = 856,367,965,815,098,240/425,430,822
  6. Step 6: Final answer
    x = 2,012,942,931.10

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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.