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Finding the Third Proportional to 19,139,632,323,000 and 41,182,143,312,714

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Solution

The third proportional to 19,139,632,323,000 and 41,182,143,312,714 is: 88,610,319,112,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,139,632,323,000 : 41,182,143,312,714 = 41,182,143,312,714 : x
  2. Step 2: Convert to fraction form
    19,139,632,323,000/41,182,143,312,714 = 41,182,143,312,714/x
  3. Step 3: Cross multiply
    19,139,632,323,000x = 41,182,143,312,714 × 41,182,143,312,714
  4. Step 4: Simplify right side
    19,139,632,323,000x = 1,695,968,927,828,914,557,968,973,824
  5. Step 5: Solve for x
    x = 1,695,968,927,828,914,557,968,973,824/19,139,632,323,000
  6. Step 6: Final answer
    x = 88,610,319,112,080.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.