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Finding the Third Proportional to 909,222,256.50 and 1,960,364,503.50

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Solution

The third proportional to 909,222,256.50 and 1,960,364,503.50 is: 4,226,721,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,222,256.50 : 1,960,364,503.50 = 1,960,364,503.50 : x
  2. Step 2: Convert to fraction form
    909,222,256.50/1,960,364,503.50 = 1,960,364,503.50/x
  3. Step 3: Cross multiply
    909,222,256.50x = 1,960,364,503.50 × 1,960,364,503.50
  4. Step 4: Simplify right side
    909,222,256.50x = 3,843,028,986,582,801,408
  5. Step 5: Solve for x
    x = 3,843,028,986,582,801,408/909,222,256.50
  6. Step 6: Final answer
    x = 4,226,721,199.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.