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Finding the Third Proportional to 6,511,142 and 9,578,541

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Solution

The third proportional to 6,511,142 and 9,578,541 is: 14,090,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511,142 : 9,578,541 = 9,578,541 : x
  2. Step 2: Convert to fraction form
    6,511,142/9,578,541 = 9,578,541/x
  3. Step 3: Cross multiply
    6,511,142x = 9,578,541 × 9,578,541
  4. Step 4: Simplify right side
    6,511,142x = 91,748,447,688,681
  5. Step 5: Solve for x
    x = 91,748,447,688,681/6,511,142
  6. Step 6: Final answer
    x = 14,090,991.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.