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Finding the Third Proportional to 1,172,584,869 and 2,577,564,730.50

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Solution

The third proportional to 1,172,584,869 and 2,577,564,730.50 is: 5,665,977,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,584,869 : 2,577,564,730.50 = 2,577,564,730.50 : x
  2. Step 2: Convert to fraction form
    1,172,584,869/2,577,564,730.50 = 2,577,564,730.50/x
  3. Step 3: Cross multiply
    1,172,584,869x = 2,577,564,730.50 × 2,577,564,730.50
  4. Step 4: Simplify right side
    1,172,584,869x = 6,643,839,939,917,537,280
  5. Step 5: Solve for x
    x = 6,643,839,939,917,537,280/1,172,584,869
  6. Step 6: Final answer
    x = 5,665,977,888.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.