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Finding the Third Proportional to 14,258,498 and 30,789,708

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Solution

The third proportional to 14,258,498 and 30,789,708 is: 66,487,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258,498 : 30,789,708 = 30,789,708 : x
  2. Step 2: Convert to fraction form
    14,258,498/30,789,708 = 30,789,708/x
  3. Step 3: Cross multiply
    14,258,498x = 30,789,708 × 30,789,708
  4. Step 4: Simplify right side
    14,258,498x = 948,006,118,725,264
  5. Step 5: Solve for x
    x = 948,006,118,725,264/14,258,498
  6. Step 6: Final answer
    x = 66,487,095.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.