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Finding the Third Proportional to 290,441,602,436 and 621,683,346,579.50

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Solution

The third proportional to 290,441,602,436 and 621,683,346,579.50 is: 1,330,698,426,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,441,602,436 : 621,683,346,579.50 = 621,683,346,579.50 : x
  2. Step 2: Convert to fraction form
    290,441,602,436/621,683,346,579.50 = 621,683,346,579.50/x
  3. Step 3: Cross multiply
    290,441,602,436x = 621,683,346,579.50 × 621,683,346,579.50
  4. Step 4: Simplify right side
    290,441,602,436x = 386,490,183,414,286,697,627,648
  5. Step 5: Solve for x
    x = 386,490,183,414,286,697,627,648/290,441,602,436
  6. Step 6: Final answer
    x = 1,330,698,426,715.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.