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Finding the Third Proportional to 803,338,911 and 1,241,363,421

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Solution

The third proportional to 803,338,911 and 1,241,363,421 is: 1,918,222,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,338,911 : 1,241,363,421 = 1,241,363,421 : x
  2. Step 2: Convert to fraction form
    803,338,911/1,241,363,421 = 1,241,363,421/x
  3. Step 3: Cross multiply
    803,338,911x = 1,241,363,421 × 1,241,363,421
  4. Step 4: Simplify right side
    803,338,911x = 1,540,983,142,996,823,296
  5. Step 5: Solve for x
    x = 1,540,983,142,996,823,296/803,338,911
  6. Step 6: Final answer
    x = 1,918,222,959.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.