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Finding the Third Proportional to 6,409,514,782 and 9,681,248,907

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Solution

The third proportional to 6,409,514,782 and 9,681,248,907 is: 14,623,038,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409,514,782 : 9,681,248,907 = 9,681,248,907 : x
  2. Step 2: Convert to fraction form
    6,409,514,782/9,681,248,907 = 9,681,248,907/x
  3. Step 3: Cross multiply
    6,409,514,782x = 9,681,248,907 × 9,681,248,907
  4. Step 4: Simplify right side
    6,409,514,782x = 93,726,580,399,288,696,832
  5. Step 5: Solve for x
    x = 93,726,580,399,288,696,832/6,409,514,782
  6. Step 6: Final answer
    x = 14,623,038,340.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.