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Finding the Third Proportional to 2,774,660,500 and 6,547,702,152

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Solution

The third proportional to 2,774,660,500 and 6,547,702,152 is: 15,451,405,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,660,500 : 6,547,702,152 = 6,547,702,152 : x
  2. Step 2: Convert to fraction form
    2,774,660,500/6,547,702,152 = 6,547,702,152/x
  3. Step 3: Cross multiply
    2,774,660,500x = 6,547,702,152 × 6,547,702,152
  4. Step 4: Simplify right side
    2,774,660,500x = 42,872,403,471,305,433,088
  5. Step 5: Solve for x
    x = 42,872,403,471,305,433,088/2,774,660,500
  6. Step 6: Final answer
    x = 15,451,405,125.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.