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Finding the Third Proportional to 3,295,346,022 and 4,973,663,925

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Solution

The third proportional to 3,295,346,022 and 4,973,663,925 is: 7,506,748,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,346,022 : 4,973,663,925 = 4,973,663,925 : x
  2. Step 2: Convert to fraction form
    3,295,346,022/4,973,663,925 = 4,973,663,925/x
  3. Step 3: Cross multiply
    3,295,346,022x = 4,973,663,925 × 4,973,663,925
  4. Step 4: Simplify right side
    3,295,346,022x = 24,737,332,838,846,406,656
  5. Step 5: Solve for x
    x = 24,737,332,838,846,406,656/3,295,346,022
  6. Step 6: Final answer
    x = 7,506,748,206.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.