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Finding the Third Proportional to 107,957,450,097 and 237,506,012,611

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Solution

The third proportional to 107,957,450,097 and 237,506,012,611 is: 522,512,397,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,957,450,097 : 237,506,012,611 = 237,506,012,611 : x
  2. Step 2: Convert to fraction form
    107,957,450,097/237,506,012,611 = 237,506,012,611/x
  3. Step 3: Cross multiply
    107,957,450,097x = 237,506,012,611 × 237,506,012,611
  4. Step 4: Simplify right side
    107,957,450,097x = 56,409,106,026,376,493,793,280
  5. Step 5: Solve for x
    x = 56,409,106,026,376,493,793,280/107,957,450,097
  6. Step 6: Final answer
    x = 522,512,397,020.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.