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Finding the Third Proportional to 2,459,340,090 and 5,355,346,560

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Solution

The third proportional to 2,459,340,090 and 5,355,346,560 is: 11,661,557,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459,340,090 : 5,355,346,560 = 5,355,346,560 : x
  2. Step 2: Convert to fraction form
    2,459,340,090/5,355,346,560 = 5,355,346,560/x
  3. Step 3: Cross multiply
    2,459,340,090x = 5,355,346,560 × 5,355,346,560
  4. Step 4: Simplify right side
    2,459,340,090x = 28,679,736,777,703,833,600
  5. Step 5: Solve for x
    x = 28,679,736,777,703,833,600/2,459,340,090
  6. Step 6: Final answer
    x = 11,661,557,868.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.