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Finding the Third Proportional to 278,516,933,073 and 418,070,189,849.50

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Solution

The third proportional to 278,516,933,073 and 418,070,189,849.50 is: 627,547,782,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,516,933,073 : 418,070,189,849.50 = 418,070,189,849.50 : x
  2. Step 2: Convert to fraction form
    278,516,933,073/418,070,189,849.50 = 418,070,189,849.50/x
  3. Step 3: Cross multiply
    278,516,933,073x = 418,070,189,849.50 × 418,070,189,849.50
  4. Step 4: Simplify right side
    278,516,933,073x = 174,782,683,640,796,977,037,312
  5. Step 5: Solve for x
    x = 174,782,683,640,796,977,037,312/278,516,933,073
  6. Step 6: Final answer
    x = 627,547,782,148.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.