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Finding the Third Proportional to 403,792,345 and 876,499,035.50

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Solution

The third proportional to 403,792,345 and 876,499,035.50 is: 1,902,588,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792,345 : 876,499,035.50 = 876,499,035.50 : x
  2. Step 2: Convert to fraction form
    403,792,345/876,499,035.50 = 876,499,035.50/x
  3. Step 3: Cross multiply
    403,792,345x = 876,499,035.50 × 876,499,035.50
  4. Step 4: Simplify right side
    403,792,345x = 768,250,559,232,430,208
  5. Step 5: Solve for x
    x = 768,250,559,232,430,208/403,792,345
  6. Step 6: Final answer
    x = 1,902,588,220.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.