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Finding the Third Proportional to 1,368,670,484 and 2,809,898,347

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Solution

The third proportional to 1,368,670,484 and 2,809,898,347 is: 5,768,757,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,670,484 : 2,809,898,347 = 2,809,898,347 : x
  2. Step 2: Convert to fraction form
    1,368,670,484/2,809,898,347 = 2,809,898,347/x
  3. Step 3: Cross multiply
    1,368,670,484x = 2,809,898,347 × 2,809,898,347
  4. Step 4: Simplify right side
    1,368,670,484x = 7,895,528,720,473,332,736
  5. Step 5: Solve for x
    x = 7,895,528,720,473,332,736/1,368,670,484
  6. Step 6: Final answer
    x = 5,768,757,939.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.