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Finding the Third Proportional to 76,795,783 and 112,319,641

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Solution

The third proportional to 76,795,783 and 112,319,641 is: 164,275,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,795,783 : 112,319,641 = 112,319,641 : x
  2. Step 2: Convert to fraction form
    76,795,783/112,319,641 = 112,319,641/x
  3. Step 3: Cross multiply
    76,795,783x = 112,319,641 × 112,319,641
  4. Step 4: Simplify right side
    76,795,783x = 12,615,701,754,368,880
  5. Step 5: Solve for x
    x = 12,615,701,754,368,880/76,795,783
  6. Step 6: Final answer
    x = 164,275,970.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.