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Finding the Third Proportional to 908,872,207.03 and 1,381,633,810.03

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Solution

The third proportional to 908,872,207.03 and 1,381,633,810.03 is: 2,100,308,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,872,207.03 : 1,381,633,810.03 = 1,381,633,810.03 : x
  2. Step 2: Convert to fraction form
    908,872,207.03/1,381,633,810.03 = 1,381,633,810.03/x
  3. Step 3: Cross multiply
    908,872,207.03x = 1,381,633,810.03 × 1,381,633,810.03
  4. Step 4: Simplify right side
    908,872,207.03x = 1,908,911,985,021,329,920
  5. Step 5: Solve for x
    x = 1,908,911,985,021,329,920/908,872,207.03
  6. Step 6: Final answer
    x = 2,100,308,459.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.