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Finding the Third Proportional to 2,390,909,202 and 3,750,291,207

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Solution

The third proportional to 2,390,909,202 and 3,750,291,207 is: 5,882,567,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390,909,202 : 3,750,291,207 = 3,750,291,207 : x
  2. Step 2: Convert to fraction form
    2,390,909,202/3,750,291,207 = 3,750,291,207/x
  3. Step 3: Cross multiply
    2,390,909,202x = 3,750,291,207 × 3,750,291,207
  4. Step 4: Simplify right side
    2,390,909,202x = 14,064,684,137,301,516,288
  5. Step 5: Solve for x
    x = 14,064,684,137,301,516,288/2,390,909,202
  6. Step 6: Final answer
    x = 5,882,567,236.57

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Why These Related Problems?

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