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Finding the Third Proportional to 5,858,406,582 and 8,842,089,132

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Solution

The third proportional to 5,858,406,582 and 8,842,089,132 is: 13,345,359,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858,406,582 : 8,842,089,132 = 8,842,089,132 : x
  2. Step 2: Convert to fraction form
    5,858,406,582/8,842,089,132 = 8,842,089,132/x
  3. Step 3: Cross multiply
    5,858,406,582x = 8,842,089,132 × 8,842,089,132
  4. Step 4: Simplify right side
    5,858,406,582x = 78,182,540,218,232,520,704
  5. Step 5: Solve for x
    x = 78,182,540,218,232,520,704/5,858,406,582
  6. Step 6: Final answer
    x = 13,345,359,207.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.