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Finding the Third Proportional to 3,160,926,574 and 7,028,586,409

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Solution

The third proportional to 3,160,926,574 and 7,028,586,409 is: 15,628,653,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,926,574 : 7,028,586,409 = 7,028,586,409 : x
  2. Step 2: Convert to fraction form
    3,160,926,574/7,028,586,409 = 7,028,586,409/x
  3. Step 3: Cross multiply
    3,160,926,574x = 7,028,586,409 × 7,028,586,409
  4. Step 4: Simplify right side
    3,160,926,574x = 49,401,026,908,779,511,808
  5. Step 5: Solve for x
    x = 49,401,026,908,779,511,808/3,160,926,574
  6. Step 6: Final answer
    x = 15,628,653,735.62

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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.