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Finding the Third Proportional to 523,150,230 and 1,121,411,880

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Solution

The third proportional to 523,150,230 and 1,121,411,880 is: 2,403,830,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,150,230 : 1,121,411,880 = 1,121,411,880 : x
  2. Step 2: Convert to fraction form
    523,150,230/1,121,411,880 = 1,121,411,880/x
  3. Step 3: Cross multiply
    523,150,230x = 1,121,411,880 × 1,121,411,880
  4. Step 4: Simplify right side
    523,150,230x = 1,257,564,604,605,134,336
  5. Step 5: Solve for x
    x = 1,257,564,604,605,134,336/523,150,230
  6. Step 6: Final answer
    x = 2,403,830,740.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.