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Finding the Third Proportional to 2,191,415,446 and 4,693,126,064

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Solution

The third proportional to 2,191,415,446 and 4,693,126,064 is: 10,050,778,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,415,446 : 4,693,126,064 = 4,693,126,064 : x
  2. Step 2: Convert to fraction form
    2,191,415,446/4,693,126,064 = 4,693,126,064/x
  3. Step 3: Cross multiply
    2,191,415,446x = 4,693,126,064 × 4,693,126,064
  4. Step 4: Simplify right side
    2,191,415,446x = 22,025,432,252,596,133,888
  5. Step 5: Solve for x
    x = 22,025,432,252,596,133,888/2,191,415,446
  6. Step 6: Final answer
    x = 10,050,778,957.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.