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Finding the Third Proportional to 15,698,516,642 and 24,129,702,858

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Solution

The third proportional to 15,698,516,642 and 24,129,702,858 is: 37,089,017,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698,516,642 : 24,129,702,858 = 24,129,702,858 : x
  2. Step 2: Convert to fraction form
    15,698,516,642/24,129,702,858 = 24,129,702,858/x
  3. Step 3: Cross multiply
    15,698,516,642x = 24,129,702,858 × 24,129,702,858
  4. Step 4: Simplify right side
    15,698,516,642x = 582,242,560,015,373,369,344
  5. Step 5: Solve for x
    x = 582,242,560,015,373,369,344/15,698,516,642
  6. Step 6: Final answer
    x = 37,089,017,599.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.