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Finding the Third Proportional to 903,765,200,820.75 and 1,966,390,605,496.10

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Solution

The third proportional to 903,765,200,820.75 and 1,966,390,605,496.10 is: 4,278,425,424,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,765,200,820.75 : 1,966,390,605,496.10 = 1,966,390,605,496.10 : x
  2. Step 2: Convert to fraction form
    903,765,200,820.75/1,966,390,605,496.10 = 1,966,390,605,496.10/x
  3. Step 3: Cross multiply
    903,765,200,820.75x = 1,966,390,605,496.10 × 1,966,390,605,496.10
  4. Step 4: Simplify right side
    903,765,200,820.75x = 3,866,692,013,383,319,042,392,064
  5. Step 5: Solve for x
    x = 3,866,692,013,383,319,042,392,064/903,765,200,820.75
  6. Step 6: Final answer
    x = 4,278,425,424,957.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.