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Finding the Third Proportional to 10,184,351,640 and 22,262,009,590.50

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Solution

The third proportional to 10,184,351,640 and 22,262,009,590.50 is: 48,662,604,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184,351,640 : 22,262,009,590.50 = 22,262,009,590.50 : x
  2. Step 2: Convert to fraction form
    10,184,351,640/22,262,009,590.50 = 22,262,009,590.50/x
  3. Step 3: Cross multiply
    10,184,351,640x = 22,262,009,590.50 × 22,262,009,590.50
  4. Step 4: Simplify right side
    10,184,351,640x = 495,597,071,007,513,968,640
  5. Step 5: Solve for x
    x = 495,597,071,007,513,968,640/10,184,351,640
  6. Step 6: Final answer
    x = 48,662,604,015.07

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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.