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Finding the Third Proportional to 5,666,316 and 8,546,913

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Solution

The third proportional to 5,666,316 and 8,546,913 is: 12,891,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666,316 : 8,546,913 = 8,546,913 : x
  2. Step 2: Convert to fraction form
    5,666,316/8,546,913 = 8,546,913/x
  3. Step 3: Cross multiply
    5,666,316x = 8,546,913 × 8,546,913
  4. Step 4: Simplify right side
    5,666,316x = 73,049,721,829,569
  5. Step 5: Solve for x
    x = 73,049,721,829,569/5,666,316
  6. Step 6: Final answer
    x = 12,891,925.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.