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Finding the Third Proportional to 1,974,690,196 and 4,112,824,328

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Solution

The third proportional to 1,974,690,196 and 4,112,824,328 is: 8,566,064,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,690,196 : 4,112,824,328 = 4,112,824,328 : x
  2. Step 2: Convert to fraction form
    1,974,690,196/4,112,824,328 = 4,112,824,328/x
  3. Step 3: Cross multiply
    1,974,690,196x = 4,112,824,328 × 4,112,824,328
  4. Step 4: Simplify right side
    1,974,690,196x = 16,915,323,952,988,651,520
  5. Step 5: Solve for x
    x = 16,915,323,952,988,651,520/1,974,690,196
  6. Step 6: Final answer
    x = 8,566,064,685.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.