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Finding the Third Proportional to 30,953,689.50 and 46,508,534.25

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Solution

The third proportional to 30,953,689.50 and 46,508,534.25 is: 69,879,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953,689.50 : 46,508,534.25 = 46,508,534.25 : x
  2. Step 2: Convert to fraction form
    30,953,689.50/46,508,534.25 = 46,508,534.25/x
  3. Step 3: Cross multiply
    30,953,689.50x = 46,508,534.25 × 46,508,534.25
  4. Step 4: Simplify right side
    30,953,689.50x = 2,163,043,758,083,423
  5. Step 5: Solve for x
    x = 2,163,043,758,083,423/30,953,689.50
  6. Step 6: Final answer
    x = 69,879,997.93

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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.