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Finding the Third Proportional to 557,033,866,146 and 836,140,379,699

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Solution

The third proportional to 557,033,866,146 and 836,140,379,699 is: 1,255,095,564,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,033,866,146 : 836,140,379,699 = 836,140,379,699 : x
  2. Step 2: Convert to fraction form
    557,033,866,146/836,140,379,699 = 836,140,379,699/x
  3. Step 3: Cross multiply
    557,033,866,146x = 836,140,379,699 × 836,140,379,699
  4. Step 4: Simplify right side
    557,033,866,146x = 699,130,734,563,187,908,149,248
  5. Step 5: Solve for x
    x = 699,130,734,563,187,908,149,248/557,033,866,146
  6. Step 6: Final answer
    x = 1,255,095,564,297.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.