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Finding the Third Proportional to 3,070,492,308 and 4,716,612,792

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Solution

The third proportional to 3,070,492,308 and 4,716,612,792 is: 7,245,234,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,492,308 : 4,716,612,792 = 4,716,612,792 : x
  2. Step 2: Convert to fraction form
    3,070,492,308/4,716,612,792 = 4,716,612,792/x
  3. Step 3: Cross multiply
    3,070,492,308x = 4,716,612,792 × 4,716,612,792
  4. Step 4: Simplify right side
    3,070,492,308x = 22,246,436,229,658,034,176
  5. Step 5: Solve for x
    x = 22,246,436,229,658,034,176/3,070,492,308
  6. Step 6: Final answer
    x = 7,245,234,313.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.