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Finding the Third Proportional to 10,348,803 and 22,509,670.50

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Solution

The third proportional to 10,348,803 and 22,509,670.50 is: 48,960,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,803 : 22,509,670.50 = 22,509,670.50 : x
  2. Step 2: Convert to fraction form
    10,348,803/22,509,670.50 = 22,509,670.50/x
  3. Step 3: Cross multiply
    10,348,803x = 22,509,670.50 × 22,509,670.50
  4. Step 4: Simplify right side
    10,348,803x = 506,685,266,018,570.25
  5. Step 5: Solve for x
    x = 506,685,266,018,570.25/10,348,803
  6. Step 6: Final answer
    x = 48,960,760.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.