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Finding the Third Proportional to 5,709,312 and 7,776,432

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Solution

The third proportional to 5,709,312 and 7,776,432 is: 10,591,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,312 : 7,776,432 = 7,776,432 : x
  2. Step 2: Convert to fraction form
    5,709,312/7,776,432 = 7,776,432/x
  3. Step 3: Cross multiply
    5,709,312x = 7,776,432 × 7,776,432
  4. Step 4: Simplify right side
    5,709,312x = 60,472,894,650,624
  5. Step 5: Solve for x
    x = 60,472,894,650,624/5,709,312
  6. Step 6: Final answer
    x = 10,591,975.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.