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Finding the Third Proportional to 265,122,955,958.06 and 581,575,081,852.10

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Solution

The third proportional to 265,122,955,958.06 and 581,575,081,852.10 is: 1,275,746,095,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,122,955,958.06 : 581,575,081,852.10 = 581,575,081,852.10 : x
  2. Step 2: Convert to fraction form
    265,122,955,958.06/581,575,081,852.10 = 581,575,081,852.10/x
  3. Step 3: Cross multiply
    265,122,955,958.06x = 581,575,081,852.10 × 581,575,081,852.10
  4. Step 4: Simplify right side
    265,122,955,958.06x = 338,229,575,831,276,801,228,800
  5. Step 5: Solve for x
    x = 338,229,575,831,276,801,228,800/265,122,955,958.06
  6. Step 6: Final answer
    x = 1,275,746,095,275.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.