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Finding the Third Proportional to 8,434,044,324 and 12,340,602,747

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Solution

The third proportional to 8,434,044,324 and 12,340,602,747 is: 18,056,636,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434,044,324 : 12,340,602,747 = 12,340,602,747 : x
  2. Step 2: Convert to fraction form
    8,434,044,324/12,340,602,747 = 12,340,602,747/x
  3. Step 3: Cross multiply
    8,434,044,324x = 12,340,602,747 × 12,340,602,747
  4. Step 4: Simplify right side
    8,434,044,324x = 152,290,476,159,263,932,416
  5. Step 5: Solve for x
    x = 152,290,476,159,263,932,416/8,434,044,324
  6. Step 6: Final answer
    x = 18,056,636,923.98

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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.