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Finding the Third Proportional to 83,562,186,006 and 183,540,390,133.50

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Solution

The third proportional to 83,562,186,006 and 183,540,390,133.50 is: 403,137,787,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,562,186,006 : 183,540,390,133.50 = 183,540,390,133.50 : x
  2. Step 2: Convert to fraction form
    83,562,186,006/183,540,390,133.50 = 183,540,390,133.50/x
  3. Step 3: Cross multiply
    83,562,186,006x = 183,540,390,133.50 × 183,540,390,133.50
  4. Step 4: Simplify right side
    83,562,186,006x = 33,687,074,810,357,386,051,584
  5. Step 5: Solve for x
    x = 33,687,074,810,357,386,051,584/83,562,186,006
  6. Step 6: Final answer
    x = 403,137,787,801.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.