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Finding the Third Proportional to 243,912,405,888 and 528,346,107,648

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Solution

The third proportional to 243,912,405,888 and 528,346,107,648 is: 1,144,466,631,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,912,405,888 : 528,346,107,648 = 528,346,107,648 : x
  2. Step 2: Convert to fraction form
    243,912,405,888/528,346,107,648 = 528,346,107,648/x
  3. Step 3: Cross multiply
    243,912,405,888x = 528,346,107,648 × 528,346,107,648
  4. Step 4: Simplify right side
    243,912,405,888x = 279,149,609,466,792,014,512,128
  5. Step 5: Solve for x
    x = 279,149,609,466,792,014,512,128/243,912,405,888
  6. Step 6: Final answer
    x = 1,144,466,631,168.29

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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.