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Finding the Third Proportional to 1,724,876,751,305.90 and 3,725,157,485,289.80

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Solution

The third proportional to 1,724,876,751,305.90 and 3,725,157,485,289.80 is: 8,045,095,558,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,876,751,305.90 : 3,725,157,485,289.80 = 3,725,157,485,289.80 : x
  2. Step 2: Convert to fraction form
    1,724,876,751,305.90/3,725,157,485,289.80 = 3,725,157,485,289.80/x
  3. Step 3: Cross multiply
    1,724,876,751,305.90x = 3,725,157,485,289.80 × 3,725,157,485,289.80
  4. Step 4: Simplify right side
    1,724,876,751,305.90x = 13,876,798,290,210,625,547,141,120
  5. Step 5: Solve for x
    x = 13,876,798,290,210,625,547,141,120/1,724,876,751,305.90
  6. Step 6: Final answer
    x = 8,045,095,558,105.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.