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Finding the Third Proportional to 1,310,833,728 and 2,807,605,344

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Solution

The third proportional to 1,310,833,728 and 2,807,605,344 is: 6,013,461,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,833,728 : 2,807,605,344 = 2,807,605,344 : x
  2. Step 2: Convert to fraction form
    1,310,833,728/2,807,605,344 = 2,807,605,344/x
  3. Step 3: Cross multiply
    1,310,833,728x = 2,807,605,344 × 2,807,605,344
  4. Step 4: Simplify right side
    1,310,833,728x = 7,882,647,767,657,358,336
  5. Step 5: Solve for x
    x = 7,882,647,767,657,358,336/1,310,833,728
  6. Step 6: Final answer
    x = 6,013,461,203.57

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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.