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Finding the Third Proportional to 4,852,115,784 and 6,933,799,890

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Solution

The third proportional to 4,852,115,784 and 6,933,799,890 is: 9,908,580,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852,115,784 : 6,933,799,890 = 6,933,799,890 : x
  2. Step 2: Convert to fraction form
    4,852,115,784/6,933,799,890 = 6,933,799,890/x
  3. Step 3: Cross multiply
    4,852,115,784x = 6,933,799,890 × 6,933,799,890
  4. Step 4: Simplify right side
    4,852,115,784x = 48,077,580,914,564,014,080
  5. Step 5: Solve for x
    x = 48,077,580,914,564,014,080/4,852,115,784
  6. Step 6: Final answer
    x = 9,908,580,721.24

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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.