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Finding the Third Proportional to 429,798,546,008 and 919,973,572,828

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Solution

The third proportional to 429,798,546,008 and 919,973,572,828 is: 1,969,181,567,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,798,546,008 : 919,973,572,828 = 919,973,572,828 : x
  2. Step 2: Convert to fraction form
    429,798,546,008/919,973,572,828 = 919,973,572,828/x
  3. Step 3: Cross multiply
    429,798,546,008x = 919,973,572,828 × 919,973,572,828
  4. Step 4: Simplify right side
    429,798,546,008x = 846,351,374,701,915,484,979,200
  5. Step 5: Solve for x
    x = 846,351,374,701,915,484,979,200/429,798,546,008
  6. Step 6: Final answer
    x = 1,969,181,567,883.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.