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Finding the Third Proportional to 594,202,142,989 and 1,287,072,249,667

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Solution

The third proportional to 594,202,142,989 and 1,287,072,249,667 is: 2,787,864,357,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,202,142,989 : 1,287,072,249,667 = 1,287,072,249,667 : x
  2. Step 2: Convert to fraction form
    594,202,142,989/1,287,072,249,667 = 1,287,072,249,667/x
  3. Step 3: Cross multiply
    594,202,142,989x = 1,287,072,249,667 × 1,287,072,249,667
  4. Step 4: Simplify right side
    594,202,142,989x = 1,656,554,975,862,872,462,065,664
  5. Step 5: Solve for x
    x = 1,656,554,975,862,872,462,065,664/594,202,142,989
  6. Step 6: Final answer
    x = 2,787,864,357,960.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.