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Finding the Third Proportional to 5,036,701,746 and 10,780,940,370

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Solution

The third proportional to 5,036,701,746 and 10,780,940,370 is: 23,076,346,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036,701,746 : 10,780,940,370 = 10,780,940,370 : x
  2. Step 2: Convert to fraction form
    5,036,701,746/10,780,940,370 = 10,780,940,370/x
  3. Step 3: Cross multiply
    5,036,701,746x = 10,780,940,370 × 10,780,940,370
  4. Step 4: Simplify right side
    5,036,701,746x = 116,228,675,261,495,738,368
  5. Step 5: Solve for x
    x = 116,228,675,261,495,738,368/5,036,701,746
  6. Step 6: Final answer
    x = 23,076,346,609.92

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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.