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Finding the Third Proportional to 918,733,910 and 2,016,031,492

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Solution

The third proportional to 918,733,910 and 2,016,031,492 is: 4,423,895,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,733,910 : 2,016,031,492 = 2,016,031,492 : x
  2. Step 2: Convert to fraction form
    918,733,910/2,016,031,492 = 2,016,031,492/x
  3. Step 3: Cross multiply
    918,733,910x = 2,016,031,492 × 2,016,031,492
  4. Step 4: Simplify right side
    918,733,910x = 4,064,382,976,735,746,048
  5. Step 5: Solve for x
    x = 4,064,382,976,735,746,048/918,733,910
  6. Step 6: Final answer
    x = 4,423,895,681.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.