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Finding the Third Proportional to 351,418,510.13 and 514,191,776.63

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Solution

The third proportional to 351,418,510.13 and 514,191,776.63 is: 752,359,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,418,510.13 : 514,191,776.63 = 514,191,776.63 : x
  2. Step 2: Convert to fraction form
    351,418,510.13/514,191,776.63 = 514,191,776.63/x
  3. Step 3: Cross multiply
    351,418,510.13x = 514,191,776.63 × 514,191,776.63
  4. Step 4: Simplify right side
    351,418,510.13x = 264,393,183,148,773,888
  5. Step 5: Solve for x
    x = 264,393,183,148,773,888/351,418,510.13
  6. Step 6: Final answer
    x = 752,359,865.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.