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Finding the Third Proportional to 3,271,483,116 and 7,041,812,184

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Solution

The third proportional to 3,271,483,116 and 7,041,812,184 is: 15,157,381,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271,483,116 : 7,041,812,184 = 7,041,812,184 : x
  2. Step 2: Convert to fraction form
    3,271,483,116/7,041,812,184 = 7,041,812,184/x
  3. Step 3: Cross multiply
    3,271,483,116x = 7,041,812,184 × 7,041,812,184
  4. Step 4: Simplify right side
    3,271,483,116x = 49,587,118,834,730,852,352
  5. Step 5: Solve for x
    x = 49,587,118,834,730,852,352/3,271,483,116
  6. Step 6: Final answer
    x = 15,157,381,859.08

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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.