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Finding the Third Proportional to 6,742,735 and 14,564,432

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Solution

The third proportional to 6,742,735 and 14,564,432 is: 31,459,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742,735 : 14,564,432 = 14,564,432 : x
  2. Step 2: Convert to fraction form
    6,742,735/14,564,432 = 14,564,432/x
  3. Step 3: Cross multiply
    6,742,735x = 14,564,432 × 14,564,432
  4. Step 4: Simplify right side
    6,742,735x = 212,122,679,482,624
  5. Step 5: Solve for x
    x = 212,122,679,482,624/6,742,735
  6. Step 6: Final answer
    x = 31,459,441.83

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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.