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Finding the Third Proportional to 7,277,911,319 and 10,400,303,896

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Solution

The third proportional to 7,277,911,319 and 10,400,303,896 is: 14,862,275,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277,911,319 : 10,400,303,896 = 10,400,303,896 : x
  2. Step 2: Convert to fraction form
    7,277,911,319/10,400,303,896 = 10,400,303,896/x
  3. Step 3: Cross multiply
    7,277,911,319x = 10,400,303,896 × 10,400,303,896
  4. Step 4: Simplify right side
    7,277,911,319x = 108,166,321,129,152,774,144
  5. Step 5: Solve for x
    x = 108,166,321,129,152,774,144/7,277,911,319
  6. Step 6: Final answer
    x = 14,862,275,230.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.