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Finding the Third Proportional to 1,147,302,735 and 2,535,771,669

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Solution

The third proportional to 1,147,302,735 and 2,535,771,669 is: 5,604,569,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,302,735 : 2,535,771,669 = 2,535,771,669 : x
  2. Step 2: Convert to fraction form
    1,147,302,735/2,535,771,669 = 2,535,771,669/x
  3. Step 3: Cross multiply
    1,147,302,735x = 2,535,771,669 × 2,535,771,669
  4. Step 4: Simplify right side
    1,147,302,735x = 6,430,137,957,303,045,120
  5. Step 5: Solve for x
    x = 6,430,137,957,303,045,120/1,147,302,735
  6. Step 6: Final answer
    x = 5,604,569,536.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.