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Finding the Third Proportional to 6,201,803,976 and 9,532,621,184

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Solution

The third proportional to 6,201,803,976 and 9,532,621,184 is: 14,652,328,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201,803,976 : 9,532,621,184 = 9,532,621,184 : x
  2. Step 2: Convert to fraction form
    6,201,803,976/9,532,621,184 = 9,532,621,184/x
  3. Step 3: Cross multiply
    6,201,803,976x = 9,532,621,184 × 9,532,621,184
  4. Step 4: Simplify right side
    6,201,803,976x = 90,870,866,637,645,561,856
  5. Step 5: Solve for x
    x = 90,870,866,637,645,561,856/6,201,803,976
  6. Step 6: Final answer
    x = 14,652,328,095.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.