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Finding the Third Proportional to 345,387,510.84 and 563,927,016.94

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Solution

The third proportional to 345,387,510.84 and 563,927,016.94 is: 920,744,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,387,510.84 : 563,927,016.94 = 563,927,016.94 : x
  2. Step 2: Convert to fraction form
    345,387,510.84/563,927,016.94 = 563,927,016.94/x
  3. Step 3: Cross multiply
    345,387,510.84x = 563,927,016.94 × 563,927,016.94
  4. Step 4: Simplify right side
    345,387,510.84x = 318,013,680,432,027,392
  5. Step 5: Solve for x
    x = 318,013,680,432,027,392/345,387,510.84
  6. Step 6: Final answer
    x = 920,744,585.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.