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Finding the Third Proportional to 46,277,345 and 67,712,512

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Solution

The third proportional to 46,277,345 and 67,712,512 is: 99,076,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,277,345 : 67,712,512 = 67,712,512 : x
  2. Step 2: Convert to fraction form
    46,277,345/67,712,512 = 67,712,512/x
  3. Step 3: Cross multiply
    46,277,345x = 67,712,512 × 67,712,512
  4. Step 4: Simplify right side
    46,277,345x = 4,584,984,281,350,144
  5. Step 5: Solve for x
    x = 4,584,984,281,350,144/46,277,345
  6. Step 6: Final answer
    x = 99,076,217.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.