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Finding the Third Proportional to 10,581,929 and 15,831,709

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Solution

The third proportional to 10,581,929 and 15,831,709 is: 23,685,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581,929 : 15,831,709 = 15,831,709 : x
  2. Step 2: Convert to fraction form
    10,581,929/15,831,709 = 15,831,709/x
  3. Step 3: Cross multiply
    10,581,929x = 15,831,709 × 15,831,709
  4. Step 4: Simplify right side
    10,581,929x = 250,643,009,860,681
  5. Step 5: Solve for x
    x = 250,643,009,860,681/10,581,929
  6. Step 6: Final answer
    x = 23,685,947.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.