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Finding the Third Proportional to 30,831,919,698 and 49,059,645,306

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Solution

The third proportional to 30,831,919,698 and 49,059,645,306 is: 78,063,540,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831,919,698 : 49,059,645,306 = 49,059,645,306 : x
  2. Step 2: Convert to fraction form
    30,831,919,698/49,059,645,306 = 49,059,645,306/x
  3. Step 3: Cross multiply
    30,831,919,698x = 49,059,645,306 × 49,059,645,306
  4. Step 4: Simplify right side
    30,831,919,698x = 2,406,848,797,550,527,905,792
  5. Step 5: Solve for x
    x = 2,406,848,797,550,527,905,792/30,831,919,698
  6. Step 6: Final answer
    x = 78,063,540,030.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.