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Finding the Third Proportional to 546,543,918 and 1,180,177,087

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Solution

The third proportional to 546,543,918 and 1,180,177,087 is: 2,548,409,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,543,918 : 1,180,177,087 = 1,180,177,087 : x
  2. Step 2: Convert to fraction form
    546,543,918/1,180,177,087 = 1,180,177,087/x
  3. Step 3: Cross multiply
    546,543,918x = 1,180,177,087 × 1,180,177,087
  4. Step 4: Simplify right side
    546,543,918x = 1,392,817,956,679,805,696
  5. Step 5: Solve for x
    x = 1,392,817,956,679,805,696/546,543,918
  6. Step 6: Final answer
    x = 2,548,409,946.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.