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Finding the Third Proportional to 4,651,384,706 and 7,149,511,780

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Solution

The third proportional to 4,651,384,706 and 7,149,511,780 is: 10,989,312,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,384,706 : 7,149,511,780 = 7,149,511,780 : x
  2. Step 2: Convert to fraction form
    4,651,384,706/7,149,511,780 = 7,149,511,780/x
  3. Step 3: Cross multiply
    4,651,384,706x = 7,149,511,780 × 7,149,511,780
  4. Step 4: Simplify right side
    4,651,384,706x = 51,115,518,692,358,766,592
  5. Step 5: Solve for x
    x = 51,115,518,692,358,766,592/4,651,384,706
  6. Step 6: Final answer
    x = 10,989,312,199.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.