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Finding the Third Proportional to 5,674,095.56 and 12,312,698.63

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Solution

The third proportional to 5,674,095.56 and 12,312,698.63 is: 26,718,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,095.56 : 12,312,698.63 = 12,312,698.63 : x
  2. Step 2: Convert to fraction form
    5,674,095.56/12,312,698.63 = 12,312,698.63/x
  3. Step 3: Cross multiply
    5,674,095.56x = 12,312,698.63 × 12,312,698.63
  4. Step 4: Simplify right side
    5,674,095.56x = 151,602,547,430,076.88
  5. Step 5: Solve for x
    x = 151,602,547,430,076.88/5,674,095.56
  6. Step 6: Final answer
    x = 26,718,363.44

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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.