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Finding the Third Proportional to 7,761,104 and 16,326,646

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Solution

The third proportional to 7,761,104 and 16,326,646 is: 34,345,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,104 : 16,326,646 = 16,326,646 : x
  2. Step 2: Convert to fraction form
    7,761,104/16,326,646 = 16,326,646/x
  3. Step 3: Cross multiply
    7,761,104x = 16,326,646 × 16,326,646
  4. Step 4: Simplify right side
    7,761,104x = 266,559,369,609,316
  5. Step 5: Solve for x
    x = 266,559,369,609,316/7,761,104
  6. Step 6: Final answer
    x = 34,345,547.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.