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Finding the Third Proportional to 1,312,435,608 and 1,918,826,712

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Solution

The third proportional to 1,312,435,608 and 1,918,826,712 is: 2,805,391,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,435,608 : 1,918,826,712 = 1,918,826,712 : x
  2. Step 2: Convert to fraction form
    1,312,435,608/1,918,826,712 = 1,918,826,712/x
  3. Step 3: Cross multiply
    1,312,435,608x = 1,918,826,712 × 1,918,826,712
  4. Step 4: Simplify right side
    1,312,435,608x = 3,681,895,950,684,730,880
  5. Step 5: Solve for x
    x = 3,681,895,950,684,730,880/1,312,435,608
  6. Step 6: Final answer
    x = 2,805,391,691.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.