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Finding the Third Proportional to 16,381,260.75 and 35,547,018.75

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Solution

The third proportional to 16,381,260.75 and 35,547,018.75 is: 77,136,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381,260.75 : 35,547,018.75 = 35,547,018.75 : x
  2. Step 2: Convert to fraction form
    16,381,260.75/35,547,018.75 = 35,547,018.75/x
  3. Step 3: Cross multiply
    16,381,260.75x = 35,547,018.75 × 35,547,018.75
  4. Step 4: Simplify right side
    16,381,260.75x = 1,263,590,542,012,851.50
  5. Step 5: Solve for x
    x = 1,263,590,542,012,851.50/16,381,260.75
  6. Step 6: Final answer
    x = 77,136,342.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.