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Finding the Third Proportional to 14,258,470 and 30,789,658

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Solution

The third proportional to 14,258,470 and 30,789,658 is: 66,487,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258,470 : 30,789,658 = 30,789,658 : x
  2. Step 2: Convert to fraction form
    14,258,470/30,789,658 = 30,789,658/x
  3. Step 3: Cross multiply
    14,258,470x = 30,789,658 × 30,789,658
  4. Step 4: Simplify right side
    14,258,470x = 948,003,039,756,964
  5. Step 5: Solve for x
    x = 948,003,039,756,964/14,258,470
  6. Step 6: Final answer
    x = 66,487,010.16

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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.