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Finding the Third Proportional to 74,862,854,669 and 166,463,975,020

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Solution

The third proportional to 74,862,854,669 and 166,463,975,020 is: 370,146,918,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862,854,669 : 166,463,975,020 = 166,463,975,020 : x
  2. Step 2: Convert to fraction form
    74,862,854,669/166,463,975,020 = 166,463,975,020/x
  3. Step 3: Cross multiply
    74,862,854,669x = 166,463,975,020 × 166,463,975,020
  4. Step 4: Simplify right side
    74,862,854,669x = 27,710,254,979,459,185,639,424
  5. Step 5: Solve for x
    x = 27,710,254,979,459,185,639,424/74,862,854,669
  6. Step 6: Final answer
    x = 370,146,918,681.87

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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.