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Finding the Third Proportional to 2,346,891,732 and 4,973,586,768

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Solution

The third proportional to 2,346,891,732 and 4,973,586,768 is: 10,540,139,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346,891,732 : 4,973,586,768 = 4,973,586,768 : x
  2. Step 2: Convert to fraction form
    2,346,891,732/4,973,586,768 = 4,973,586,768/x
  3. Step 3: Cross multiply
    2,346,891,732x = 4,973,586,768 × 4,973,586,768
  4. Step 4: Simplify right side
    2,346,891,732x = 24,736,565,338,824,687,616
  5. Step 5: Solve for x
    x = 24,736,565,338,824,687,616/2,346,891,732
  6. Step 6: Final answer
    x = 10,540,139,113.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.