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Finding the Third Proportional to 6,478,995 and 9,708,558

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Solution

The third proportional to 6,478,995 and 9,708,558 is: 14,547,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,995 : 9,708,558 = 9,708,558 : x
  2. Step 2: Convert to fraction form
    6,478,995/9,708,558 = 9,708,558/x
  3. Step 3: Cross multiply
    6,478,995x = 9,708,558 × 9,708,558
  4. Step 4: Simplify right side
    6,478,995x = 94,256,098,439,364
  5. Step 5: Solve for x
    x = 94,256,098,439,364/6,478,995
  6. Step 6: Final answer
    x = 14,547,950.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.