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Finding the Third Proportional to 550,852,747 and 1,163,879,352

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Solution

The third proportional to 550,852,747 and 1,163,879,352 is: 2,459,123,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,852,747 : 1,163,879,352 = 1,163,879,352 : x
  2. Step 2: Convert to fraction form
    550,852,747/1,163,879,352 = 1,163,879,352/x
  3. Step 3: Cross multiply
    550,852,747x = 1,163,879,352 × 1,163,879,352
  4. Step 4: Simplify right side
    550,852,747x = 1,354,615,146,011,939,840
  5. Step 5: Solve for x
    x = 1,354,615,146,011,939,840/550,852,747
  6. Step 6: Final answer
    x = 2,459,123,882.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.