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Finding the Third Proportional to 426,349,200 and 932,936,028

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Solution

The third proportional to 426,349,200 and 932,936,028 is: 2,041,447,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,349,200 : 932,936,028 = 932,936,028 : x
  2. Step 2: Convert to fraction form
    426,349,200/932,936,028 = 932,936,028/x
  3. Step 3: Cross multiply
    426,349,200x = 932,936,028 × 932,936,028
  4. Step 4: Simplify right side
    426,349,200x = 870,369,632,340,416,768
  5. Step 5: Solve for x
    x = 870,369,632,340,416,768/426,349,200
  6. Step 6: Final answer
    x = 2,041,447,790.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.