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Finding the Third Proportional to 618,342,414 and 1,333,532,316

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Solution

The third proportional to 618,342,414 and 1,333,532,316 is: 2,875,928,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,342,414 : 1,333,532,316 = 1,333,532,316 : x
  2. Step 2: Convert to fraction form
    618,342,414/1,333,532,316 = 1,333,532,316/x
  3. Step 3: Cross multiply
    618,342,414x = 1,333,532,316 × 1,333,532,316
  4. Step 4: Simplify right side
    618,342,414x = 1,778,308,437,816,323,840
  5. Step 5: Solve for x
    x = 1,778,308,437,816,323,840/618,342,414
  6. Step 6: Final answer
    x = 2,875,928,284.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.