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Finding the Third Proportional to 5,708,316 and 7,827,642

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Solution

The third proportional to 5,708,316 and 7,827,642 is: 10,733,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708,316 : 7,827,642 = 7,827,642 : x
  2. Step 2: Convert to fraction form
    5,708,316/7,827,642 = 7,827,642/x
  3. Step 3: Cross multiply
    5,708,316x = 7,827,642 × 7,827,642
  4. Step 4: Simplify right side
    5,708,316x = 61,271,979,280,164
  5. Step 5: Solve for x
    x = 61,271,979,280,164/5,708,316
  6. Step 6: Final answer
    x = 10,733,809.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.