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Finding the Third Proportional to 4,865,008,036 and 10,621,774,106

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Solution

The third proportional to 4,865,008,036 and 10,621,774,106 is: 23,190,523,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865,008,036 : 10,621,774,106 = 10,621,774,106 : x
  2. Step 2: Convert to fraction form
    4,865,008,036/10,621,774,106 = 10,621,774,106/x
  3. Step 3: Cross multiply
    4,865,008,036x = 10,621,774,106 × 10,621,774,106
  4. Step 4: Simplify right side
    4,865,008,036x = 112,822,085,158,892,093,440
  5. Step 5: Solve for x
    x = 112,822,085,158,892,093,440/4,865,008,036
  6. Step 6: Final answer
    x = 23,190,523,905.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.