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Finding the Third Proportional to 2,376,124,827 and 4,947,794,677.50

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Solution

The third proportional to 2,376,124,827 and 4,947,794,677.50 is: 10,302,771,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,124,827 : 4,947,794,677.50 = 4,947,794,677.50 : x
  2. Step 2: Convert to fraction form
    2,376,124,827/4,947,794,677.50 = 4,947,794,677.50/x
  3. Step 3: Cross multiply
    2,376,124,827x = 4,947,794,677.50 × 4,947,794,677.50
  4. Step 4: Simplify right side
    2,376,124,827x = 24,480,672,170,697,330,688
  5. Step 5: Solve for x
    x = 24,480,672,170,697,330,688/2,376,124,827
  6. Step 6: Final answer
    x = 10,302,771,930.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.