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Finding the Third Proportional to 127,510,435,160 and 279,041,041,264

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Solution

The third proportional to 127,510,435,160 and 279,041,041,264 is: 610,647,298,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,510,435,160 : 279,041,041,264 = 279,041,041,264 : x
  2. Step 2: Convert to fraction form
    127,510,435,160/279,041,041,264 = 279,041,041,264/x
  3. Step 3: Cross multiply
    127,510,435,160x = 279,041,041,264 × 279,041,041,264
  4. Step 4: Simplify right side
    127,510,435,160x = 77,863,902,709,697,348,632,576
  5. Step 5: Solve for x
    x = 77,863,902,709,697,348,632,576/127,510,435,160
  6. Step 6: Final answer
    x = 610,647,298,097.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.