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Finding the Third Proportional to 4,384,648,541 and 10,346,985,779

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Solution

The third proportional to 4,384,648,541 and 10,346,985,779 is: 24,417,034,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,648,541 : 10,346,985,779 = 10,346,985,779 : x
  2. Step 2: Convert to fraction form
    4,384,648,541/10,346,985,779 = 10,346,985,779/x
  3. Step 3: Cross multiply
    4,384,648,541x = 10,346,985,779 × 10,346,985,779
  4. Step 4: Simplify right side
    4,384,648,541x = 107,060,114,710,828,236,800
  5. Step 5: Solve for x
    x = 107,060,114,710,828,236,800/4,384,648,541
  6. Step 6: Final answer
    x = 24,417,034,503.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.