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Finding the Third Proportional to 7,447,131,648 and 11,106,116,820

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Solution

The third proportional to 7,447,131,648 and 11,106,116,820 is: 16,562,864,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,131,648 : 11,106,116,820 = 11,106,116,820 : x
  2. Step 2: Convert to fraction form
    7,447,131,648/11,106,116,820 = 11,106,116,820/x
  3. Step 3: Cross multiply
    7,447,131,648x = 11,106,116,820 × 11,106,116,820
  4. Step 4: Simplify right side
    7,447,131,648x = 123,345,830,819,486,908,416
  5. Step 5: Solve for x
    x = 123,345,830,819,486,908,416/7,447,131,648
  6. Step 6: Final answer
    x = 16,562,864,287.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.