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Finding the Third Proportional to 4,562,416,360,276 and 9,787,142,003,064

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Solution

The third proportional to 4,562,416,360,276 and 9,787,142,003,064 is: 20,995,047,585,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,416,360,276 : 9,787,142,003,064 = 9,787,142,003,064 : x
  2. Step 2: Convert to fraction form
    4,562,416,360,276/9,787,142,003,064 = 9,787,142,003,064/x
  3. Step 3: Cross multiply
    4,562,416,360,276x = 9,787,142,003,064 × 9,787,142,003,064
  4. Step 4: Simplify right side
    4,562,416,360,276x = 95,788,148,588,139,606,817,374,208
  5. Step 5: Solve for x
    x = 95,788,148,588,139,606,817,374,208/4,562,416,360,276
  6. Step 6: Final answer
    x = 20,995,047,585,342.47

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Why These Related Problems?

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