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Finding the Third Proportional to 1,413,876,402 and 2,974,273,056

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Solution

The third proportional to 1,413,876,402 and 2,974,273,056 is: 6,256,770,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,876,402 : 2,974,273,056 = 2,974,273,056 : x
  2. Step 2: Convert to fraction form
    1,413,876,402/2,974,273,056 = 2,974,273,056/x
  3. Step 3: Cross multiply
    1,413,876,402x = 2,974,273,056 × 2,974,273,056
  4. Step 4: Simplify right side
    1,413,876,402x = 8,846,300,211,647,579,136
  5. Step 5: Solve for x
    x = 8,846,300,211,647,579,136/1,413,876,402
  6. Step 6: Final answer
    x = 6,256,770,534.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.