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Finding the Third Proportional to 1,368,670,486 and 2,809,898,352

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Solution

The third proportional to 1,368,670,486 and 2,809,898,352 is: 5,768,757,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,670,486 : 2,809,898,352 = 2,809,898,352 : x
  2. Step 2: Convert to fraction form
    1,368,670,486/2,809,898,352 = 2,809,898,352/x
  3. Step 3: Cross multiply
    1,368,670,486x = 2,809,898,352 × 2,809,898,352
  4. Step 4: Simplify right side
    1,368,670,486x = 7,895,528,748,572,315,648
  5. Step 5: Solve for x
    x = 7,895,528,748,572,315,648/1,368,670,486
  6. Step 6: Final answer
    x = 5,768,757,951.12

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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.