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Finding the Third Proportional to 2,525,567,746,050 and 5,893,195,054,725

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Solution

The third proportional to 2,525,567,746,050 and 5,893,195,054,725 is: 13,751,263,654,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525,567,746,050 : 5,893,195,054,725 = 5,893,195,054,725 : x
  2. Step 2: Convert to fraction form
    2,525,567,746,050/5,893,195,054,725 = 5,893,195,054,725/x
  3. Step 3: Cross multiply
    2,525,567,746,050x = 5,893,195,054,725 × 5,893,195,054,725
  4. Step 4: Simplify right side
    2,525,567,746,050x = 34,729,747,953,035,196,462,268,416
  5. Step 5: Solve for x
    x = 34,729,747,953,035,196,462,268,416/2,525,567,746,050
  6. Step 6: Final answer
    x = 13,751,263,654,420.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.