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Finding the Third Proportional to 6,811,047 and 14,547,438

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Solution

The third proportional to 6,811,047 and 14,547,438 is: 31,071,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,047 : 14,547,438 = 14,547,438 : x
  2. Step 2: Convert to fraction form
    6,811,047/14,547,438 = 14,547,438/x
  3. Step 3: Cross multiply
    6,811,047x = 14,547,438 × 14,547,438
  4. Step 4: Simplify right side
    6,811,047x = 211,627,952,363,844
  5. Step 5: Solve for x
    x = 211,627,952,363,844/6,811,047
  6. Step 6: Final answer
    x = 31,071,280.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.