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Finding the Third Proportional to 302,902,254.75 and 663,264,937.50

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Solution

The third proportional to 302,902,254.75 and 663,264,937.50 is: 1,452,350,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,902,254.75 : 663,264,937.50 = 663,264,937.50 : x
  2. Step 2: Convert to fraction form
    302,902,254.75/663,264,937.50 = 663,264,937.50/x
  3. Step 3: Cross multiply
    302,902,254.75x = 663,264,937.50 × 663,264,937.50
  4. Step 4: Simplify right side
    302,902,254.75x = 439,920,377,316,878,912
  5. Step 5: Solve for x
    x = 439,920,377,316,878,912/302,902,254.75
  6. Step 6: Final answer
    x = 1,452,350,949.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.