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Finding the Third Proportional to 14,878,730 and 31,543,024

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Solution

The third proportional to 14,878,730 and 31,543,024 is: 66,871,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878,730 : 31,543,024 = 31,543,024 : x
  2. Step 2: Convert to fraction form
    14,878,730/31,543,024 = 31,543,024/x
  3. Step 3: Cross multiply
    14,878,730x = 31,543,024 × 31,543,024
  4. Step 4: Simplify right side
    14,878,730x = 994,962,363,064,576
  5. Step 5: Solve for x
    x = 994,962,363,064,576/14,878,730
  6. Step 6: Final answer
    x = 66,871,457.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.