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Finding the Third Proportional to 1,076,871,230 and 2,342,421,511

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Solution

The third proportional to 1,076,871,230 and 2,342,421,511 is: 5,095,259,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,871,230 : 2,342,421,511 = 2,342,421,511 : x
  2. Step 2: Convert to fraction form
    1,076,871,230/2,342,421,511 = 2,342,421,511/x
  3. Step 3: Cross multiply
    1,076,871,230x = 2,342,421,511 × 2,342,421,511
  4. Step 4: Simplify right side
    1,076,871,230x = 5,486,938,535,195,523,072
  5. Step 5: Solve for x
    x = 5,486,938,535,195,523,072/1,076,871,230
  6. Step 6: Final answer
    x = 5,095,259,658.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.