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Finding the Third Proportional to 720,291,291.75 and 1,549,783,867.50

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Solution

The third proportional to 720,291,291.75 and 1,549,783,867.50 is: 3,334,525,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,291,291.75 : 1,549,783,867.50 = 1,549,783,867.50 : x
  2. Step 2: Convert to fraction form
    720,291,291.75/1,549,783,867.50 = 1,549,783,867.50/x
  3. Step 3: Cross multiply
    720,291,291.75x = 1,549,783,867.50 × 1,549,783,867.50
  4. Step 4: Simplify right side
    720,291,291.75x = 2,401,830,035,963,257,344
  5. Step 5: Solve for x
    x = 2,401,830,035,963,257,344/720,291,291.75
  6. Step 6: Final answer
    x = 3,334,525,994.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.