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Finding the Third Proportional to 295,226,723 and 634,265,886.50

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Solution

The third proportional to 295,226,723 and 634,265,886.50 is: 1,362,658,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,226,723 : 634,265,886.50 = 634,265,886.50 : x
  2. Step 2: Convert to fraction form
    295,226,723/634,265,886.50 = 634,265,886.50/x
  3. Step 3: Cross multiply
    295,226,723x = 634,265,886.50 × 634,265,886.50
  4. Step 4: Simplify right side
    295,226,723x = 402,293,214,777,630,912
  5. Step 5: Solve for x
    x = 402,293,214,777,630,912/295,226,723
  6. Step 6: Final answer
    x = 1,362,658,538.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.