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Finding the Third Proportional to 2,810,087,663,804 and 3,791,468,051,712

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Solution

The third proportional to 2,810,087,663,804 and 3,791,468,051,712 is: 5,115,580,617,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,087,663,804 : 3,791,468,051,712 = 3,791,468,051,712 : x
  2. Step 2: Convert to fraction form
    2,810,087,663,804/3,791,468,051,712 = 3,791,468,051,712/x
  3. Step 3: Cross multiply
    2,810,087,663,804x = 3,791,468,051,712 × 3,791,468,051,712
  4. Step 4: Simplify right side
    2,810,087,663,804x = 14,375,229,987,152,789,432,696,832
  5. Step 5: Solve for x
    x = 14,375,229,987,152,789,432,696,832/2,810,087,663,804
  6. Step 6: Final answer
    x = 5,115,580,617,756.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.