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Finding the Third Proportional to 15,698,516,752 and 24,129,703,023

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Solution

The third proportional to 15,698,516,752 and 24,129,703,023 is: 37,089,017,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698,516,752 : 24,129,703,023 = 24,129,703,023 : x
  2. Step 2: Convert to fraction form
    15,698,516,752/24,129,703,023 = 24,129,703,023/x
  3. Step 3: Cross multiply
    15,698,516,752x = 24,129,703,023 × 24,129,703,023
  4. Step 4: Simplify right side
    15,698,516,752x = 582,242,567,978,175,365,120
  5. Step 5: Solve for x
    x = 582,242,567,978,175,365,120/15,698,516,752
  6. Step 6: Final answer
    x = 37,089,017,846.48

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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.