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Finding the Third Proportional to 345,387,531 and 563,927,047.50

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Solution

The third proportional to 345,387,531 and 563,927,047.50 is: 920,744,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,387,531 : 563,927,047.50 = 563,927,047.50 : x
  2. Step 2: Convert to fraction form
    345,387,531/563,927,047.50 = 563,927,047.50/x
  3. Step 3: Cross multiply
    345,387,531x = 563,927,047.50 × 563,927,047.50
  4. Step 4: Simplify right side
    345,387,531x = 318,013,714,902,067,264
  5. Step 5: Solve for x
    x = 318,013,714,902,067,264/345,387,531
  6. Step 6: Final answer
    x = 920,744,631.35

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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.