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Finding the Third Proportional to 918,733,909 and 2,016,031,490

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Solution

The third proportional to 918,733,909 and 2,016,031,490 is: 4,423,895,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,733,909 : 2,016,031,490 = 2,016,031,490 : x
  2. Step 2: Convert to fraction form
    918,733,909/2,016,031,490 = 2,016,031,490/x
  3. Step 3: Cross multiply
    918,733,909x = 2,016,031,490 × 2,016,031,490
  4. Step 4: Simplify right side
    918,733,909x = 4,064,382,968,671,620,096
  5. Step 5: Solve for x
    x = 4,064,382,968,671,620,096/918,733,909
  6. Step 6: Final answer
    x = 4,423,895,677.36

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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.