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Finding the Third Proportional to 30,610,746 and 66,602,103

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Solution

The third proportional to 30,610,746 and 66,602,103 is: 144,911,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610,746 : 66,602,103 = 66,602,103 : x
  2. Step 2: Convert to fraction form
    30,610,746/66,602,103 = 66,602,103/x
  3. Step 3: Cross multiply
    30,610,746x = 66,602,103 × 66,602,103
  4. Step 4: Simplify right side
    30,610,746x = 4,435,840,124,022,609
  5. Step 5: Solve for x
    x = 4,435,840,124,022,609/30,610,746
  6. Step 6: Final answer
    x = 144,911,206.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.