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Finding the Third Proportional to 265,502,006.50 and 415,574,677.50

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Solution

The third proportional to 265,502,006.50 and 415,574,677.50 is: 650,474,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,502,006.50 : 415,574,677.50 = 415,574,677.50 : x
  2. Step 2: Convert to fraction form
    265,502,006.50/415,574,677.50 = 415,574,677.50/x
  3. Step 3: Cross multiply
    265,502,006.50x = 415,574,677.50 × 415,574,677.50
  4. Step 4: Simplify right side
    265,502,006.50x = 172,702,312,579,228,992
  5. Step 5: Solve for x
    x = 172,702,312,579,228,992/265,502,006.50
  6. Step 6: Final answer
    x = 650,474,604.15

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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.