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Finding the Third Proportional to 2,303,772,934,644 and 5,013,102,709,339

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Solution

The third proportional to 2,303,772,934,644 and 5,013,102,709,339 is: 10,908,713,439,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,772,934,644 : 5,013,102,709,339 = 5,013,102,709,339 : x
  2. Step 2: Convert to fraction form
    2,303,772,934,644/5,013,102,709,339 = 5,013,102,709,339/x
  3. Step 3: Cross multiply
    2,303,772,934,644x = 5,013,102,709,339 × 5,013,102,709,339
  4. Step 4: Simplify right side
    2,303,772,934,644x = 25,131,198,774,382,023,174,782,976
  5. Step 5: Solve for x
    x = 25,131,198,774,382,023,174,782,976/2,303,772,934,644
  6. Step 6: Final answer
    x = 10,908,713,439,792.85

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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.