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Finding the Third Proportional to 66,527,275,722 and 101,466,547,626

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Solution

The third proportional to 66,527,275,722 and 101,466,547,626 is: 154,755,476,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,527,275,722 : 101,466,547,626 = 101,466,547,626 : x
  2. Step 2: Convert to fraction form
    66,527,275,722/101,466,547,626 = 101,466,547,626/x
  3. Step 3: Cross multiply
    66,527,275,722x = 101,466,547,626 × 101,466,547,626
  4. Step 4: Simplify right side
    66,527,275,722x = 10,295,460,287,139,326,984,192
  5. Step 5: Solve for x
    x = 10,295,460,287,139,326,984,192/66,527,275,722
  6. Step 6: Final answer
    x = 154,755,476,989.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.