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Finding the Third Proportional to 30,391,047,264 and 66,013,742,232

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Solution

The third proportional to 30,391,047,264 and 66,013,742,232 is: 143,391,378,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391,047,264 : 66,013,742,232 = 66,013,742,232 : x
  2. Step 2: Convert to fraction form
    30,391,047,264/66,013,742,232 = 66,013,742,232/x
  3. Step 3: Cross multiply
    30,391,047,264x = 66,013,742,232 × 66,013,742,232
  4. Step 4: Simplify right side
    30,391,047,264x = 4,357,814,163,472,940,269,568
  5. Step 5: Solve for x
    x = 4,357,814,163,472,940,269,568/30,391,047,264
  6. Step 6: Final answer
    x = 143,391,378,573.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.