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Finding the Third Proportional to 1,827,600,465 and 2,825,237,316

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Solution

The third proportional to 1,827,600,465 and 2,825,237,316 is: 4,367,456,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,600,465 : 2,825,237,316 = 2,825,237,316 : x
  2. Step 2: Convert to fraction form
    1,827,600,465/2,825,237,316 = 2,825,237,316/x
  3. Step 3: Cross multiply
    1,827,600,465x = 2,825,237,316 × 2,825,237,316
  4. Step 4: Simplify right side
    1,827,600,465x = 7,981,965,891,718,884,352
  5. Step 5: Solve for x
    x = 7,981,965,891,718,884,352/1,827,600,465
  6. Step 6: Final answer
    x = 4,367,456,697.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.