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Finding the Third Proportional to 464,916,990 and 1,011,552,852

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Solution

The third proportional to 464,916,990 and 1,011,552,852 is: 2,200,907,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,916,990 : 1,011,552,852 = 1,011,552,852 : x
  2. Step 2: Convert to fraction form
    464,916,990/1,011,552,852 = 1,011,552,852/x
  3. Step 3: Cross multiply
    464,916,990x = 1,011,552,852 × 1,011,552,852
  4. Step 4: Simplify right side
    464,916,990x = 1,023,239,172,389,333,888
  5. Step 5: Solve for x
    x = 1,023,239,172,389,333,888/464,916,990
  6. Step 6: Final answer
    x = 2,200,907,246.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.