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Finding the Third Proportional to 51,573,309 and 78,024,354

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Solution

The third proportional to 51,573,309 and 78,024,354 is: 118,041,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,573,309 : 78,024,354 = 78,024,354 : x
  2. Step 2: Convert to fraction form
    51,573,309/78,024,354 = 78,024,354/x
  3. Step 3: Cross multiply
    51,573,309x = 78,024,354 × 78,024,354
  4. Step 4: Simplify right side
    51,573,309x = 6,087,799,817,117,316
  5. Step 5: Solve for x
    x = 6,087,799,817,117,316/51,573,309
  6. Step 6: Final answer
    x = 118,041,675.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.