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Finding the Third Proportional to 2,390,909,206 and 3,750,291,214

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Solution

The third proportional to 2,390,909,206 and 3,750,291,214 is: 5,882,567,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390,909,206 : 3,750,291,214 = 3,750,291,214 : x
  2. Step 2: Convert to fraction form
    2,390,909,206/3,750,291,214 = 3,750,291,214/x
  3. Step 3: Cross multiply
    2,390,909,206x = 3,750,291,214 × 3,750,291,214
  4. Step 4: Simplify right side
    2,390,909,206x = 14,064,684,189,805,594,624
  5. Step 5: Solve for x
    x = 14,064,684,189,805,594,624/2,390,909,206
  6. Step 6: Final answer
    x = 5,882,567,248.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.