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Finding the Third Proportional to 30,953,688 and 46,508,532

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Solution

The third proportional to 30,953,688 and 46,508,532 is: 69,879,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953,688 : 46,508,532 = 46,508,532 : x
  2. Step 2: Convert to fraction form
    30,953,688/46,508,532 = 46,508,532/x
  3. Step 3: Cross multiply
    30,953,688x = 46,508,532 × 46,508,532
  4. Step 4: Simplify right side
    30,953,688x = 2,163,043,548,795,024
  5. Step 5: Solve for x
    x = 2,163,043,548,795,024/30,953,688
  6. Step 6: Final answer
    x = 69,879,994.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.