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Finding the Third Proportional to 4,318,860,138,752 and 9,287,693,878,144

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Solution

The third proportional to 4,318,860,138,752 and 9,287,693,878,144 is: 19,973,153,749,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318,860,138,752 : 9,287,693,878,144 = 9,287,693,878,144 : x
  2. Step 2: Convert to fraction form
    4,318,860,138,752/9,287,693,878,144 = 9,287,693,878,144/x
  3. Step 3: Cross multiply
    4,318,860,138,752x = 9,287,693,878,144 × 9,287,693,878,144
  4. Step 4: Simplify right side
    4,318,860,138,752x = 86,261,257,574,113,539,346,399,232
  5. Step 5: Solve for x
    x = 86,261,257,574,113,539,346,399,232/4,318,860,138,752
  6. Step 6: Final answer
    x = 19,973,153,749,553.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.