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Finding the Third Proportional to 1,431,842,313 and 2,209,051,506

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Solution

The third proportional to 1,431,842,313 and 2,209,051,506 is: 3,408,132,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,842,313 : 2,209,051,506 = 2,209,051,506 : x
  2. Step 2: Convert to fraction form
    1,431,842,313/2,209,051,506 = 2,209,051,506/x
  3. Step 3: Cross multiply
    1,431,842,313x = 2,209,051,506 × 2,209,051,506
  4. Step 4: Simplify right side
    1,431,842,313x = 4,879,908,556,160,868,352
  5. Step 5: Solve for x
    x = 4,879,908,556,160,868,352/1,431,842,313
  6. Step 6: Final answer
    x = 3,408,132,663.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.