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Finding the Third Proportional to 910,964,847,489 and 1,897,329,717,411

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Solution

The third proportional to 910,964,847,489 and 1,897,329,717,411 is: 3,951,700,295,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,964,847,489 : 1,897,329,717,411 = 1,897,329,717,411 : x
  2. Step 2: Convert to fraction form
    910,964,847,489/1,897,329,717,411 = 1,897,329,717,411/x
  3. Step 3: Cross multiply
    910,964,847,489x = 1,897,329,717,411 × 1,897,329,717,411
  4. Step 4: Simplify right side
    910,964,847,489x = 3,599,860,056,570,905,126,502,400
  5. Step 5: Solve for x
    x = 3,599,860,056,570,905,126,502,400/910,964,847,489
  6. Step 6: Final answer
    x = 3,951,700,295,015.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.