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Finding the Third Proportional to 765,388,342,890 and 1,639,948,881,014

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Solution

The third proportional to 765,388,342,890 and 1,639,948,881,014 is: 3,513,814,075,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,388,342,890 : 1,639,948,881,014 = 1,639,948,881,014 : x
  2. Step 2: Convert to fraction form
    765,388,342,890/1,639,948,881,014 = 1,639,948,881,014/x
  3. Step 3: Cross multiply
    765,388,342,890x = 1,639,948,881,014 × 1,639,948,881,014
  4. Step 4: Simplify right side
    765,388,342,890x = 2,689,432,332,339,070,608,867,328
  5. Step 5: Solve for x
    x = 2,689,432,332,339,070,608,867,328/765,388,342,890
  6. Step 6: Final answer
    x = 3,513,814,075,328.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.