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Finding the Third Proportional to 1,698,918,630 and 4,004,823,570

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Solution

The third proportional to 1,698,918,630 and 4,004,823,570 is: 9,440,482,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,918,630 : 4,004,823,570 = 4,004,823,570 : x
  2. Step 2: Convert to fraction form
    1,698,918,630/4,004,823,570 = 4,004,823,570/x
  3. Step 3: Cross multiply
    1,698,918,630x = 4,004,823,570 × 4,004,823,570
  4. Step 4: Simplify right side
    1,698,918,630x = 16,038,611,826,827,544,576
  5. Step 5: Solve for x
    x = 16,038,611,826,827,544,576/1,698,918,630
  6. Step 6: Final answer
    x = 9,440,482,636.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.