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Finding the Third Proportional to 1,316,128,056 and 2,858,817,648

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Solution

The third proportional to 1,316,128,056 and 2,858,817,648 is: 6,209,759,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,128,056 : 2,858,817,648 = 2,858,817,648 : x
  2. Step 2: Convert to fraction form
    1,316,128,056/2,858,817,648 = 2,858,817,648/x
  3. Step 3: Cross multiply
    1,316,128,056x = 2,858,817,648 × 2,858,817,648
  4. Step 4: Simplify right side
    1,316,128,056x = 8,172,838,344,516,251,648
  5. Step 5: Solve for x
    x = 8,172,838,344,516,251,648/1,316,128,056
  6. Step 6: Final answer
    x = 6,209,759,230.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.