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Finding the Third Proportional to 2,046,276,951 and 4,439,871,534

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Solution

The third proportional to 2,046,276,951 and 4,439,871,534 is: 9,633,329,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,276,951 : 4,439,871,534 = 4,439,871,534 : x
  2. Step 2: Convert to fraction form
    2,046,276,951/4,439,871,534 = 4,439,871,534/x
  3. Step 3: Cross multiply
    2,046,276,951x = 4,439,871,534 × 4,439,871,534
  4. Step 4: Simplify right side
    2,046,276,951x = 19,712,459,238,423,515,136
  5. Step 5: Solve for x
    x = 19,712,459,238,423,515,136/2,046,276,951
  6. Step 6: Final answer
    x = 9,633,329,070.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.