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Finding the Third Proportional to 673,411,675,881.50 and 1,465,370,963,968

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Solution

The third proportional to 673,411,675,881.50 and 1,465,370,963,968 is: 3,188,706,312,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,411,675,881.50 : 1,465,370,963,968 = 1,465,370,963,968 : x
  2. Step 2: Convert to fraction form
    673,411,675,881.50/1,465,370,963,968 = 1,465,370,963,968/x
  3. Step 3: Cross multiply
    673,411,675,881.50x = 1,465,370,963,968 × 1,465,370,963,968
  4. Step 4: Simplify right side
    673,411,675,881.50x = 2,147,312,062,040,505,537,527,808
  5. Step 5: Solve for x
    x = 2,147,312,062,040,505,537,527,808/673,411,675,881.50
  6. Step 6: Final answer
    x = 3,188,706,312,865.25

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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.