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Finding the Third Proportional to 1,386,349,155 and 3,082,666,195

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Solution

The third proportional to 1,386,349,155 and 3,082,666,195 is: 6,854,572,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,349,155 : 3,082,666,195 = 3,082,666,195 : x
  2. Step 2: Convert to fraction form
    1,386,349,155/3,082,666,195 = 3,082,666,195/x
  3. Step 3: Cross multiply
    1,386,349,155x = 3,082,666,195 × 3,082,666,195
  4. Step 4: Simplify right side
    1,386,349,155x = 9,502,830,869,795,778,560
  5. Step 5: Solve for x
    x = 9,502,830,869,795,778,560/1,386,349,155
  6. Step 6: Final answer
    x = 6,854,572,555.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.