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Finding the Third Proportional to 14,835,974 and 31,266,028

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Solution

The third proportional to 14,835,974 and 31,266,028 is: 65,891,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835,974 : 31,266,028 = 31,266,028 : x
  2. Step 2: Convert to fraction form
    14,835,974/31,266,028 = 31,266,028/x
  3. Step 3: Cross multiply
    14,835,974x = 31,266,028 × 31,266,028
  4. Step 4: Simplify right side
    14,835,974x = 977,564,506,896,784
  5. Step 5: Solve for x
    x = 977,564,506,896,784/14,835,974
  6. Step 6: Final answer
    x = 65,891,495.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.