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Finding the Third Proportional to 6,558,526,744 and 14,162,124,445

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Solution

The third proportional to 6,558,526,744 and 14,162,124,445 is: 30,580,918,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558,526,744 : 14,162,124,445 = 14,162,124,445 : x
  2. Step 2: Convert to fraction form
    6,558,526,744/14,162,124,445 = 14,162,124,445/x
  3. Step 3: Cross multiply
    6,558,526,744x = 14,162,124,445 × 14,162,124,445
  4. Step 4: Simplify right side
    6,558,526,744x = 200,565,768,795,666,546,688
  5. Step 5: Solve for x
    x = 200,565,768,795,666,546,688/6,558,526,744
  6. Step 6: Final answer
    x = 30,580,918,036.07

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Why These Related Problems?

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