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Finding the Third Proportional to 681,459,215 and 1,482,316,468

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Solution

The third proportional to 681,459,215 and 1,482,316,468 is: 3,224,348,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,459,215 : 1,482,316,468 = 1,482,316,468 : x
  2. Step 2: Convert to fraction form
    681,459,215/1,482,316,468 = 1,482,316,468/x
  3. Step 3: Cross multiply
    681,459,215x = 1,482,316,468 × 1,482,316,468
  4. Step 4: Simplify right side
    681,459,215x = 2,197,262,111,303,995,136
  5. Step 5: Solve for x
    x = 2,197,262,111,303,995,136/681,459,215
  6. Step 6: Final answer
    x = 3,224,348,666.71

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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.