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Finding the Third Proportional to 342,818,868 and 522,249,125

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Solution

The third proportional to 342,818,868 and 522,249,125 is: 795,592,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,818,868 : 522,249,125 = 522,249,125 : x
  2. Step 2: Convert to fraction form
    342,818,868/522,249,125 = 522,249,125/x
  3. Step 3: Cross multiply
    342,818,868x = 522,249,125 × 522,249,125
  4. Step 4: Simplify right side
    342,818,868x = 272,744,148,563,265,632
  5. Step 5: Solve for x
    x = 272,744,148,563,265,632/342,818,868
  6. Step 6: Final answer
    x = 795,592,582.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.