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Finding the Third Proportional to 645,582,766.50 and 1,380,920,008.50

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Solution

The third proportional to 645,582,766.50 and 1,380,920,008.50 is: 2,953,827,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,582,766.50 : 1,380,920,008.50 = 1,380,920,008.50 : x
  2. Step 2: Convert to fraction form
    645,582,766.50/1,380,920,008.50 = 1,380,920,008.50/x
  3. Step 3: Cross multiply
    645,582,766.50x = 1,380,920,008.50 × 1,380,920,008.50
  4. Step 4: Simplify right side
    645,582,766.50x = 1,906,940,069,875,640,064
  5. Step 5: Solve for x
    x = 1,906,940,069,875,640,064/645,582,766.50
  6. Step 6: Final answer
    x = 2,953,827,408.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.