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Finding the Third Proportional to 6,461,138.81 and 10,003,259.53

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Solution

The third proportional to 6,461,138.81 and 10,003,259.53 is: 15,487,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,138.81 : 10,003,259.53 = 10,003,259.53 : x
  2. Step 2: Convert to fraction form
    6,461,138.81/10,003,259.53 = 10,003,259.53/x
  3. Step 3: Cross multiply
    6,461,138.81x = 10,003,259.53 × 10,003,259.53
  4. Step 4: Simplify right side
    6,461,138.81x = 100,065,201,249,543.97
  5. Step 5: Solve for x
    x = 100,065,201,249,543.97/6,461,138.81
  6. Step 6: Final answer
    x = 15,487,239.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.