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Finding the Third Proportional to 368,077,020.75 and 537,879,186.28

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Solution

The third proportional to 368,077,020.75 and 537,879,186.28 is: 786,014,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,077,020.75 : 537,879,186.28 = 537,879,186.28 : x
  2. Step 2: Convert to fraction form
    368,077,020.75/537,879,186.28 = 537,879,186.28/x
  3. Step 3: Cross multiply
    368,077,020.75x = 537,879,186.28 × 537,879,186.28
  4. Step 4: Simplify right side
    368,077,020.75x = 289,314,019,034,579,648
  5. Step 5: Solve for x
    x = 289,314,019,034,579,648/368,077,020.75
  6. Step 6: Final answer
    x = 786,014,890.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.