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Finding the Third Proportional to 5,862,201,154 and 12,642,708,740

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Solution

The third proportional to 5,862,201,154 and 12,642,708,740 is: 27,265,881,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862,201,154 : 12,642,708,740 = 12,642,708,740 : x
  2. Step 2: Convert to fraction form
    5,862,201,154/12,642,708,740 = 12,642,708,740/x
  3. Step 3: Cross multiply
    5,862,201,154x = 12,642,708,740 × 12,642,708,740
  4. Step 4: Simplify right side
    5,862,201,154x = 159,838,084,284,472,393,728
  5. Step 5: Solve for x
    x = 159,838,084,284,472,393,728/5,862,201,154
  6. Step 6: Final answer
    x = 27,265,881,890.70

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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.