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Finding the Third Proportional to 4,651,384,701 and 7,149,511,772

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Solution

The third proportional to 4,651,384,701 and 7,149,511,772 is: 10,989,312,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,384,701 : 7,149,511,772 = 7,149,511,772 : x
  2. Step 2: Convert to fraction form
    4,651,384,701/7,149,511,772 = 7,149,511,772/x
  3. Step 3: Cross multiply
    4,651,384,701x = 7,149,511,772 × 7,149,511,772
  4. Step 4: Simplify right side
    4,651,384,701x = 51,115,518,577,966,579,712
  5. Step 5: Solve for x
    x = 51,115,518,577,966,579,712/4,651,384,701
  6. Step 6: Final answer
    x = 10,989,312,186.32

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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.