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Finding the Third Proportional to 2,344,142,394 and 4,881,197,748

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Solution

The third proportional to 2,344,142,394 and 4,881,197,748 is: 10,164,097,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344,142,394 : 4,881,197,748 = 4,881,197,748 : x
  2. Step 2: Convert to fraction form
    2,344,142,394/4,881,197,748 = 4,881,197,748/x
  3. Step 3: Cross multiply
    2,344,142,394x = 4,881,197,748 × 4,881,197,748
  4. Step 4: Simplify right side
    2,344,142,394x = 23,826,091,455,080,271,872
  5. Step 5: Solve for x
    x = 23,826,091,455,080,271,872/2,344,142,394
  6. Step 6: Final answer
    x = 10,164,097,333.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.