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Finding the Third Proportional to 282,687,284 and 610,762,996

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Solution

The third proportional to 282,687,284 and 610,762,996 is: 1,319,590,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,687,284 : 610,762,996 = 610,762,996 : x
  2. Step 2: Convert to fraction form
    282,687,284/610,762,996 = 610,762,996/x
  3. Step 3: Cross multiply
    282,687,284x = 610,762,996 × 610,762,996
  4. Step 4: Simplify right side
    282,687,284x = 373,031,437,282,896,000
  5. Step 5: Solve for x
    x = 373,031,437,282,896,000/282,687,284
  6. Step 6: Final answer
    x = 1,319,590,439.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.