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Finding the Third Proportional to 681,459,214 and 1,482,316,466

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Solution

The third proportional to 681,459,214 and 1,482,316,466 is: 3,224,348,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,459,214 : 1,482,316,466 = 1,482,316,466 : x
  2. Step 2: Convert to fraction form
    681,459,214/1,482,316,466 = 1,482,316,466/x
  3. Step 3: Cross multiply
    681,459,214x = 1,482,316,466 × 1,482,316,466
  4. Step 4: Simplify right side
    681,459,214x = 2,197,262,105,374,729,216
  5. Step 5: Solve for x
    x = 2,197,262,105,374,729,216/681,459,214
  6. Step 6: Final answer
    x = 3,224,348,662.74

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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.