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Finding the Third Proportional to 286,581,245 and 625,041,816

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Solution

The third proportional to 286,581,245 and 625,041,816 is: 1,363,233,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,581,245 : 625,041,816 = 625,041,816 : x
  2. Step 2: Convert to fraction form
    286,581,245/625,041,816 = 625,041,816/x
  3. Step 3: Cross multiply
    286,581,245x = 625,041,816 × 625,041,816
  4. Step 4: Simplify right side
    286,581,245x = 390,677,271,748,577,856
  5. Step 5: Solve for x
    x = 390,677,271,748,577,856/286,581,245
  6. Step 6: Final answer
    x = 1,363,233,912.07

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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.