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Finding the Third Proportional to 966,238,083,720 and 1,440,978,019,020

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Solution

The third proportional to 966,238,083,720 and 1,440,978,019,020 is: 2,148,971,031,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,238,083,720 : 1,440,978,019,020 = 1,440,978,019,020 : x
  2. Step 2: Convert to fraction form
    966,238,083,720/1,440,978,019,020 = 1,440,978,019,020/x
  3. Step 3: Cross multiply
    966,238,083,720x = 1,440,978,019,020 × 1,440,978,019,020
  4. Step 4: Simplify right side
    966,238,083,720x = 2,076,417,651,298,803,422,068,736
  5. Step 5: Solve for x
    x = 2,076,417,651,298,803,422,068,736/966,238,083,720
  6. Step 6: Final answer
    x = 2,148,971,031,347.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.