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Finding the Third Proportional to 377,677,484.16 and 812,750,613.40

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Solution

The third proportional to 377,677,484.16 and 812,750,613.40 is: 1,749,014,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,677,484.16 : 812,750,613.40 = 812,750,613.40 : x
  2. Step 2: Convert to fraction form
    377,677,484.16/812,750,613.40 = 812,750,613.40/x
  3. Step 3: Cross multiply
    377,677,484.16x = 812,750,613.40 × 812,750,613.40
  4. Step 4: Simplify right side
    377,677,484.16x = 660,563,559,579,475,328
  5. Step 5: Solve for x
    x = 660,563,559,579,475,328/377,677,484.16
  6. Step 6: Final answer
    x = 1,749,014,932.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.