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Finding the Third Proportional to 14,989,477,476 and 33,330,388,104

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Solution

The third proportional to 14,989,477,476 and 33,330,388,104 is: 74,112,975,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,989,477,476 : 33,330,388,104 = 33,330,388,104 : x
  2. Step 2: Convert to fraction form
    14,989,477,476/33,330,388,104 = 33,330,388,104/x
  3. Step 3: Cross multiply
    14,989,477,476x = 33,330,388,104 × 33,330,388,104
  4. Step 4: Simplify right side
    14,989,477,476x = 1,110,914,771,163,264,712,704
  5. Step 5: Solve for x
    x = 1,110,914,771,163,264,712,704/14,989,477,476
  6. Step 6: Final answer
    x = 74,112,975,114.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.