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Finding the Third Proportional to 7,547,345 and 16,289,703

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Solution

The third proportional to 7,547,345 and 16,289,703 is: 35,158,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,345 : 16,289,703 = 16,289,703 : x
  2. Step 2: Convert to fraction form
    7,547,345/16,289,703 = 16,289,703/x
  3. Step 3: Cross multiply
    7,547,345x = 16,289,703 × 16,289,703
  4. Step 4: Simplify right side
    7,547,345x = 265,354,423,828,209
  5. Step 5: Solve for x
    x = 265,354,423,828,209/7,547,345
  6. Step 6: Final answer
    x = 35,158,645.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.