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Finding the Third Proportional to 9,966,106 and 15,390,823

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Solution

The third proportional to 9,966,106 and 15,390,823 is: 23,768,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,106 : 15,390,823 = 15,390,823 : x
  2. Step 2: Convert to fraction form
    9,966,106/15,390,823 = 15,390,823/x
  3. Step 3: Cross multiply
    9,966,106x = 15,390,823 × 15,390,823
  4. Step 4: Simplify right side
    9,966,106x = 236,877,432,617,329
  5. Step 5: Solve for x
    x = 236,877,432,617,329/9,966,106
  6. Step 6: Final answer
    x = 23,768,303.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.