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Finding the Third Proportional to 2,273,768,705 and 4,947,919,905

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Solution

The third proportional to 2,273,768,705 and 4,947,919,905 is: 10,767,107,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,768,705 : 4,947,919,905 = 4,947,919,905 : x
  2. Step 2: Convert to fraction form
    2,273,768,705/4,947,919,905 = 4,947,919,905/x
  3. Step 3: Cross multiply
    2,273,768,705x = 4,947,919,905 × 4,947,919,905
  4. Step 4: Simplify right side
    2,273,768,705x = 24,481,911,386,295,209,984
  5. Step 5: Solve for x
    x = 24,481,911,386,295,209,984/2,273,768,705
  6. Step 6: Final answer
    x = 10,767,107,196.29

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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.