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Finding the Third Proportional to 362,842,312 and 560,303,904

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Solution

The third proportional to 362,842,312 and 560,303,904 is: 865,225,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,842,312 : 560,303,904 = 560,303,904 : x
  2. Step 2: Convert to fraction form
    362,842,312/560,303,904 = 560,303,904/x
  3. Step 3: Cross multiply
    362,842,312x = 560,303,904 × 560,303,904
  4. Step 4: Simplify right side
    362,842,312x = 313,940,464,837,641,216
  5. Step 5: Solve for x
    x = 313,940,464,837,641,216/362,842,312
  6. Step 6: Final answer
    x = 865,225,621.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.