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Finding the Third Proportional to 4,547,252.25 and 9,689,776.88

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Solution

The third proportional to 4,547,252.25 and 9,689,776.88 is: 20,648,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547,252.25 : 9,689,776.88 = 9,689,776.88 : x
  2. Step 2: Convert to fraction form
    4,547,252.25/9,689,776.88 = 9,689,776.88/x
  3. Step 3: Cross multiply
    4,547,252.25x = 9,689,776.88 × 9,689,776.88
  4. Step 4: Simplify right side
    4,547,252.25x = 93,891,775,887,284.77
  5. Step 5: Solve for x
    x = 93,891,775,887,284.77/4,547,252.25
  6. Step 6: Final answer
    x = 20,648,024.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.