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Finding the Third Proportional to 74,862,854,671 and 166,463,975,024

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Solution

The third proportional to 74,862,854,671 and 166,463,975,024 is: 370,146,918,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862,854,671 : 166,463,975,024 = 166,463,975,024 : x
  2. Step 2: Convert to fraction form
    74,862,854,671/166,463,975,024 = 166,463,975,024/x
  3. Step 3: Cross multiply
    74,862,854,671x = 166,463,975,024 × 166,463,975,024
  4. Step 4: Simplify right side
    74,862,854,671x = 27,710,254,980,790,893,936,640
  5. Step 5: Solve for x
    x = 27,710,254,980,790,893,936,640/74,862,854,671
  6. Step 6: Final answer
    x = 370,146,918,689.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.