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Finding the Third Proportional to 5,975,312 and 9,184,448

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Solution

The third proportional to 5,975,312 and 9,184,448 is: 14,117,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975,312 : 9,184,448 = 9,184,448 : x
  2. Step 2: Convert to fraction form
    5,975,312/9,184,448 = 9,184,448/x
  3. Step 3: Cross multiply
    5,975,312x = 9,184,448 × 9,184,448
  4. Step 4: Simplify right side
    5,975,312x = 84,354,085,064,704
  5. Step 5: Solve for x
    x = 84,354,085,064,704/5,975,312
  6. Step 6: Final answer
    x = 14,117,101.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.