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Finding the Third Proportional to 7,779,780 and 11,417,441.06

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Solution

The third proportional to 7,779,780 and 11,417,441.06 is: 16,755,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779,780 : 11,417,441.06 = 11,417,441.06 : x
  2. Step 2: Convert to fraction form
    7,779,780/11,417,441.06 = 11,417,441.06/x
  3. Step 3: Cross multiply
    7,779,780x = 11,417,441.06 × 11,417,441.06
  4. Step 4: Simplify right side
    7,779,780x = 130,357,960,415,661.12
  5. Step 5: Solve for x
    x = 130,357,960,415,661.12/7,779,780
  6. Step 6: Final answer
    x = 16,755,995.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.