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Finding the Third Proportional to 107,957,450,091 and 237,506,012,599

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Solution

The third proportional to 107,957,450,091 and 237,506,012,599 is: 522,512,396,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,957,450,091 : 237,506,012,599 = 237,506,012,599 : x
  2. Step 2: Convert to fraction form
    107,957,450,091/237,506,012,599 = 237,506,012,599/x
  3. Step 3: Cross multiply
    107,957,450,091x = 237,506,012,599 × 237,506,012,599
  4. Step 4: Simplify right side
    107,957,450,091x = 56,409,106,020,676,350,771,200
  5. Step 5: Solve for x
    x = 56,409,106,020,676,350,771,200/107,957,450,091
  6. Step 6: Final answer
    x = 522,512,396,996.48

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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.