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Finding the Third Proportional to 1,106,085,175 and 2,369,938,099

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Solution

The third proportional to 1,106,085,175 and 2,369,938,099 is: 5,077,915,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,085,175 : 2,369,938,099 = 2,369,938,099 : x
  2. Step 2: Convert to fraction form
    1,106,085,175/2,369,938,099 = 2,369,938,099/x
  3. Step 3: Cross multiply
    1,106,085,175x = 2,369,938,099 × 2,369,938,099
  4. Step 4: Simplify right side
    1,106,085,175x = 5,616,606,593,091,733,504
  5. Step 5: Solve for x
    x = 5,616,606,593,091,733,504/1,106,085,175
  6. Step 6: Final answer
    x = 5,077,915,082.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.