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Finding the Third Proportional to 6,673,993,090 and 9,088,839,416

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Solution

The third proportional to 6,673,993,090 and 9,088,839,416 is: 12,377,447,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673,993,090 : 9,088,839,416 = 9,088,839,416 : x
  2. Step 2: Convert to fraction form
    6,673,993,090/9,088,839,416 = 9,088,839,416/x
  3. Step 3: Cross multiply
    6,673,993,090x = 9,088,839,416 × 9,088,839,416
  4. Step 4: Simplify right side
    6,673,993,090x = 82,607,001,929,835,216,896
  5. Step 5: Solve for x
    x = 82,607,001,929,835,216,896/6,673,993,090
  6. Step 6: Final answer
    x = 12,377,447,925.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.