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Finding the Third Proportional to 924,232,771.50 and 2,055,110,798.25

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Solution

The third proportional to 924,232,771.50 and 2,055,110,798.25 is: 4,569,715,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,232,771.50 : 2,055,110,798.25 = 2,055,110,798.25 : x
  2. Step 2: Convert to fraction form
    924,232,771.50/2,055,110,798.25 = 2,055,110,798.25/x
  3. Step 3: Cross multiply
    924,232,771.50x = 2,055,110,798.25 × 2,055,110,798.25
  4. Step 4: Simplify right side
    924,232,771.50x = 4,223,480,393,083,752,448
  5. Step 5: Solve for x
    x = 4,223,480,393,083,752,448/924,232,771.50
  6. Step 6: Final answer
    x = 4,569,715,036.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.