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Finding the Third Proportional to 345,387,522 and 563,927,034

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Solution

The third proportional to 345,387,522 and 563,927,034 is: 920,744,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,387,522 : 563,927,034 = 563,927,034 : x
  2. Step 2: Convert to fraction form
    345,387,522/563,927,034 = 563,927,034/x
  3. Step 3: Cross multiply
    345,387,522x = 563,927,034 × 563,927,034
  4. Step 4: Simplify right side
    345,387,522x = 318,013,699,676,037,184
  5. Step 5: Solve for x
    x = 318,013,699,676,037,184/345,387,522
  6. Step 6: Final answer
    x = 920,744,611.25

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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.