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Finding the Third Proportional to 4,746,096 and 9,828,658

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Solution

The third proportional to 4,746,096 and 9,828,658 is: 20,354,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,096 : 9,828,658 = 9,828,658 : x
  2. Step 2: Convert to fraction form
    4,746,096/9,828,658 = 9,828,658/x
  3. Step 3: Cross multiply
    4,746,096x = 9,828,658 × 9,828,658
  4. Step 4: Simplify right side
    4,746,096x = 96,602,518,080,964
  5. Step 5: Solve for x
    x = 96,602,518,080,964/4,746,096
  6. Step 6: Final answer
    x = 20,354,101.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.