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Finding the Third Proportional to 5,484,820.50 and 11,812,547.25

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Solution

The third proportional to 5,484,820.50 and 11,812,547.25 is: 25,440,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484,820.50 : 11,812,547.25 = 11,812,547.25 : x
  2. Step 2: Convert to fraction form
    5,484,820.50/11,812,547.25 = 11,812,547.25/x
  3. Step 3: Cross multiply
    5,484,820.50x = 11,812,547.25 × 11,812,547.25
  4. Step 4: Simplify right side
    5,484,820.50x = 139,536,272,533,482.56
  5. Step 5: Solve for x
    x = 139,536,272,533,482.56/5,484,820.50
  6. Step 6: Final answer
    x = 25,440,444.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.