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Finding the Third Proportional to 44,968,431,428 and 99,991,162,316

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Solution

The third proportional to 44,968,431,428 and 99,991,162,316 is: 222,338,921,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,968,431,428 : 99,991,162,316 = 99,991,162,316 : x
  2. Step 2: Convert to fraction form
    44,968,431,428/99,991,162,316 = 99,991,162,316/x
  3. Step 3: Cross multiply
    44,968,431,428x = 99,991,162,316 × 99,991,162,316
  4. Step 4: Simplify right side
    44,968,431,428x = 9,998,232,541,304,658,591,744
  5. Step 5: Solve for x
    x = 9,998,232,541,304,658,591,744/44,968,431,428
  6. Step 6: Final answer
    x = 222,338,921,412.30

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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.