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Finding the Third Proportional to 13,810,880,336 and 20,191,990,080

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Solution

The third proportional to 13,810,880,336 and 20,191,990,080 is: 29,521,395,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810,880,336 : 20,191,990,080 = 20,191,990,080 : x
  2. Step 2: Convert to fraction form
    13,810,880,336/20,191,990,080 = 20,191,990,080/x
  3. Step 3: Cross multiply
    13,810,880,336x = 20,191,990,080 × 20,191,990,080
  4. Step 4: Simplify right side
    13,810,880,336x = 407,716,463,390,818,435,072
  5. Step 5: Solve for x
    x = 407,716,463,390,818,435,072/13,810,880,336
  6. Step 6: Final answer
    x = 29,521,395,701.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.