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Finding the Third Proportional to 673,086,975.75 and 1,033,943,980.50

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Solution

The third proportional to 673,086,975.75 and 1,033,943,980.50 is: 1,588,264,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,086,975.75 : 1,033,943,980.50 = 1,033,943,980.50 : x
  2. Step 2: Convert to fraction form
    673,086,975.75/1,033,943,980.50 = 1,033,943,980.50/x
  3. Step 3: Cross multiply
    673,086,975.75x = 1,033,943,980.50 × 1,033,943,980.50
  4. Step 4: Simplify right side
    673,086,975.75x = 1,069,040,154,812,184,320
  5. Step 5: Solve for x
    x = 1,069,040,154,812,184,320/673,086,975.75
  6. Step 6: Final answer
    x = 1,588,264,508.64

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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.