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Finding the Third Proportional to 30,746,590 and 47,161,868

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Solution

The third proportional to 30,746,590 and 47,161,868 is: 72,341,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746,590 : 47,161,868 = 47,161,868 : x
  2. Step 2: Convert to fraction form
    30,746,590/47,161,868 = 47,161,868/x
  3. Step 3: Cross multiply
    30,746,590x = 47,161,868 × 47,161,868
  4. Step 4: Simplify right side
    30,746,590x = 2,224,241,793,249,424
  5. Step 5: Solve for x
    x = 2,224,241,793,249,424/30,746,590
  6. Step 6: Final answer
    x = 72,341,088.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.