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Finding the Third Proportional to 251,043,570 and 586,227,871.13

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Solution

The third proportional to 251,043,570 and 586,227,871.13 is: 1,368,938,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,043,570 : 586,227,871.13 = 586,227,871.13 : x
  2. Step 2: Convert to fraction form
    251,043,570/586,227,871.13 = 586,227,871.13/x
  3. Step 3: Cross multiply
    251,043,570x = 586,227,871.13 × 586,227,871.13
  4. Step 4: Simplify right side
    251,043,570x = 343,663,116,883,749,632
  5. Step 5: Solve for x
    x = 343,663,116,883,749,632/251,043,570
  6. Step 6: Final answer
    x = 1,368,938,136.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.