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Finding the Third Proportional to 681,459,225 and 1,482,316,348.50

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Solution

The third proportional to 681,459,225 and 1,482,316,348.50 is: 3,224,348,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,459,225 : 1,482,316,348.50 = 1,482,316,348.50 : x
  2. Step 2: Convert to fraction form
    681,459,225/1,482,316,348.50 = 1,482,316,348.50/x
  3. Step 3: Cross multiply
    681,459,225x = 1,482,316,348.50 × 1,482,316,348.50
  4. Step 4: Simplify right side
    681,459,225x = 2,197,261,757,030,373,376
  5. Step 5: Solve for x
    x = 2,197,261,757,030,373,376/681,459,225
  6. Step 6: Final answer
    x = 3,224,348,099.52

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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.