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Finding the Third Proportional to 380,362,116,521 and 829,068,047,518

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Solution

The third proportional to 380,362,116,521 and 829,068,047,518 is: 1,807,103,803,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,362,116,521 : 829,068,047,518 = 829,068,047,518 : x
  2. Step 2: Convert to fraction form
    380,362,116,521/829,068,047,518 = 829,068,047,518/x
  3. Step 3: Cross multiply
    380,362,116,521x = 829,068,047,518 × 829,068,047,518
  4. Step 4: Simplify right side
    380,362,116,521x = 687,353,827,415,308,749,504,512
  5. Step 5: Solve for x
    x = 687,353,827,415,308,749,504,512/380,362,116,521
  6. Step 6: Final answer
    x = 1,807,103,803,349.88

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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.