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Finding the Third Proportional to 7,813,881.84 and 8,748,054.84

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Solution

The third proportional to 7,813,881.84 and 8,748,054.84 is: 9,793,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813,881.84 : 8,748,054.84 = 8,748,054.84 : x
  2. Step 2: Convert to fraction form
    7,813,881.84/8,748,054.84 = 8,748,054.84/x
  3. Step 3: Cross multiply
    7,813,881.84x = 8,748,054.84 × 8,748,054.84
  4. Step 4: Simplify right side
    7,813,881.84x = 76,528,463,549,257.84
  5. Step 5: Solve for x
    x = 76,528,463,549,257.84/7,813,881.84
  6. Step 6: Final answer
    x = 9,793,911.03

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.