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Finding the Third Proportional to 2,736,567,237 and 5,974,748,331

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Solution

The third proportional to 2,736,567,237 and 5,974,748,331 is: 13,044,670,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,567,237 : 5,974,748,331 = 5,974,748,331 : x
  2. Step 2: Convert to fraction form
    2,736,567,237/5,974,748,331 = 5,974,748,331/x
  3. Step 3: Cross multiply
    2,736,567,237x = 5,974,748,331 × 5,974,748,331
  4. Step 4: Simplify right side
    2,736,567,237x = 35,697,617,618,787,287,040
  5. Step 5: Solve for x
    x = 35,697,617,618,787,287,040/2,736,567,237
  6. Step 6: Final answer
    x = 13,044,670,394.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.