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Finding the Third Proportional to 30,512,470 and 46,052,454

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Solution

The third proportional to 30,512,470 and 46,052,454 is: 69,506,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512,470 : 46,052,454 = 46,052,454 : x
  2. Step 2: Convert to fraction form
    30,512,470/46,052,454 = 46,052,454/x
  3. Step 3: Cross multiply
    30,512,470x = 46,052,454 × 46,052,454
  4. Step 4: Simplify right side
    30,512,470x = 2,120,828,519,422,116
  5. Step 5: Solve for x
    x = 2,120,828,519,422,116/30,512,470
  6. Step 6: Final answer
    x = 69,506,943.21

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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.