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Finding the Third Proportional to 774,071,832,552 and 1,211,633,834,796

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Solution

The third proportional to 774,071,832,552 and 1,211,633,834,796 is: 1,896,537,876,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,071,832,552 : 1,211,633,834,796 = 1,211,633,834,796 : x
  2. Step 2: Convert to fraction form
    774,071,832,552/1,211,633,834,796 = 1,211,633,834,796/x
  3. Step 3: Cross multiply
    774,071,832,552x = 1,211,633,834,796 × 1,211,633,834,796
  4. Step 4: Simplify right side
    774,071,832,552x = 1,468,056,549,622,460,599,762,944
  5. Step 5: Solve for x
    x = 1,468,056,549,622,460,599,762,944/774,071,832,552
  6. Step 6: Final answer
    x = 1,896,537,876,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.