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Finding the Third Proportional to 4,460,965,849.50 and 6,748,916,805

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Solution

The third proportional to 4,460,965,849.50 and 6,748,916,805 is: 10,210,317,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460,965,849.50 : 6,748,916,805 = 6,748,916,805 : x
  2. Step 2: Convert to fraction form
    4,460,965,849.50/6,748,916,805 = 6,748,916,805/x
  3. Step 3: Cross multiply
    4,460,965,849.50x = 6,748,916,805 × 6,748,916,805
  4. Step 4: Simplify right side
    4,460,965,849.50x = 45,547,878,040,811,405,312
  5. Step 5: Solve for x
    x = 45,547,878,040,811,405,312/4,460,965,849.50
  6. Step 6: Final answer
    x = 10,210,317,580.87

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1.5x scale

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.