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Finding the Third Proportional to 46,006,960 and 98,477,961

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Solution

The third proportional to 46,006,960 and 98,477,961 is: 210,792,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,006,960 : 98,477,961 = 98,477,961 : x
  2. Step 2: Convert to fraction form
    46,006,960/98,477,961 = 98,477,961/x
  3. Step 3: Cross multiply
    46,006,960x = 98,477,961 × 98,477,961
  4. Step 4: Simplify right side
    46,006,960x = 9,697,908,802,717,520
  5. Step 5: Solve for x
    x = 9,697,908,802,717,520/46,006,960
  6. Step 6: Final answer
    x = 210,792,210.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.