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Finding the Third Proportional to 11,547,651 and 17,878,437

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Solution

The third proportional to 11,547,651 and 17,878,437 is: 27,679,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547,651 : 17,878,437 = 17,878,437 : x
  2. Step 2: Convert to fraction form
    11,547,651/17,878,437 = 17,878,437/x
  3. Step 3: Cross multiply
    11,547,651x = 17,878,437 × 17,878,437
  4. Step 4: Simplify right side
    11,547,651x = 319,638,509,562,969
  5. Step 5: Solve for x
    x = 319,638,509,562,969/11,547,651
  6. Step 6: Final answer
    x = 27,679,959.29

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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.