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Finding the Third Proportional to 380,362,116,519 and 829,068,047,514

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Solution

The third proportional to 380,362,116,519 and 829,068,047,514 is: 1,807,103,803,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,362,116,519 : 829,068,047,514 = 829,068,047,514 : x
  2. Step 2: Convert to fraction form
    380,362,116,519/829,068,047,514 = 829,068,047,514/x
  3. Step 3: Cross multiply
    380,362,116,519x = 829,068,047,514 × 829,068,047,514
  4. Step 4: Simplify right side
    380,362,116,519x = 687,353,827,408,676,112,039,936
  5. Step 5: Solve for x
    x = 687,353,827,408,676,112,039,936/380,362,116,519
  6. Step 6: Final answer
    x = 1,807,103,803,341.94

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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.