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Finding the Third Proportional to 1,438,989,806,076 and 3,199,717,194,640

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Solution

The third proportional to 1,438,989,806,076 and 3,199,717,194,640 is: 7,114,845,485,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,989,806,076 : 3,199,717,194,640 = 3,199,717,194,640 : x
  2. Step 2: Convert to fraction form
    1,438,989,806,076/3,199,717,194,640 = 3,199,717,194,640/x
  3. Step 3: Cross multiply
    1,438,989,806,076x = 3,199,717,194,640 × 3,199,717,194,640
  4. Step 4: Simplify right side
    1,438,989,806,076x = 10,238,190,125,674,872,709,316,608
  5. Step 5: Solve for x
    x = 10,238,190,125,674,872,709,316,608/1,438,989,806,076
  6. Step 6: Final answer
    x = 7,114,845,485,662.98

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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.