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Finding the Third Proportional to 719,434,629.84 and 1,565,552,783.67

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Solution

The third proportional to 719,434,629.84 and 1,565,552,783.67 is: 3,406,780,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,434,629.84 : 1,565,552,783.67 = 1,565,552,783.67 : x
  2. Step 2: Convert to fraction form
    719,434,629.84/1,565,552,783.67 = 1,565,552,783.67/x
  3. Step 3: Cross multiply
    719,434,629.84x = 1,565,552,783.67 × 1,565,552,783.67
  4. Step 4: Simplify right side
    719,434,629.84x = 2,450,955,518,462,521,344
  5. Step 5: Solve for x
    x = 2,450,955,518,462,521,344/719,434,629.84
  6. Step 6: Final answer
    x = 3,406,780,014.18

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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.