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Finding the Third Proportional to 3,547,931.63 and 7,767,544.50

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Solution

The third proportional to 3,547,931.63 and 7,767,544.50 is: 17,005,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,931.63 : 7,767,544.50 = 7,767,544.50 : x
  2. Step 2: Convert to fraction form
    3,547,931.63/7,767,544.50 = 7,767,544.50/x
  3. Step 3: Cross multiply
    3,547,931.63x = 7,767,544.50 × 7,767,544.50
  4. Step 4: Simplify right side
    3,547,931.63x = 60,334,747,559,480.25
  5. Step 5: Solve for x
    x = 60,334,747,559,480.25/3,547,931.63
  6. Step 6: Final answer
    x = 17,005,611.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.