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Finding the Third Proportional to 1,086,503,154 and 2,353,506,408

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Solution

The third proportional to 1,086,503,154 and 2,353,506,408 is: 5,097,999,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,503,154 : 2,353,506,408 = 2,353,506,408 : x
  2. Step 2: Convert to fraction form
    1,086,503,154/2,353,506,408 = 2,353,506,408/x
  3. Step 3: Cross multiply
    1,086,503,154x = 2,353,506,408 × 2,353,506,408
  4. Step 4: Simplify right side
    1,086,503,154x = 5,538,992,412,497,062,912
  5. Step 5: Solve for x
    x = 5,538,992,412,497,062,912/1,086,503,154
  6. Step 6: Final answer
    x = 5,097,999,386.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.