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Finding the Third Proportional to 4,511,765 and 9,742,628

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Solution

The third proportional to 4,511,765 and 9,742,628 is: 21,038,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,765 : 9,742,628 = 9,742,628 : x
  2. Step 2: Convert to fraction form
    4,511,765/9,742,628 = 9,742,628/x
  3. Step 3: Cross multiply
    4,511,765x = 9,742,628 × 9,742,628
  4. Step 4: Simplify right side
    4,511,765x = 94,918,800,346,384
  5. Step 5: Solve for x
    x = 94,918,800,346,384/4,511,765
  6. Step 6: Final answer
    x = 21,038,063.89

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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.