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Finding the Third Proportional to 2,736,567,294 and 5,974,748,468

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Solution

The third proportional to 2,736,567,294 and 5,974,748,468 is: 13,044,670,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736,567,294 : 5,974,748,468 = 5,974,748,468 : x
  2. Step 2: Convert to fraction form
    2,736,567,294/5,974,748,468 = 5,974,748,468/x
  3. Step 3: Cross multiply
    2,736,567,294x = 5,974,748,468 × 5,974,748,468
  4. Step 4: Simplify right side
    2,736,567,294x = 35,697,619,255,868,346,368
  5. Step 5: Solve for x
    x = 35,697,619,255,868,346,368/2,736,567,294
  6. Step 6: Final answer
    x = 13,044,670,720.92

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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.