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Finding the Third Proportional to 14,569,095 and 31,472,430

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Solution

The third proportional to 14,569,095 and 31,472,430 is: 67,987,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569,095 : 31,472,430 = 31,472,430 : x
  2. Step 2: Convert to fraction form
    14,569,095/31,472,430 = 31,472,430/x
  3. Step 3: Cross multiply
    14,569,095x = 31,472,430 × 31,472,430
  4. Step 4: Simplify right side
    14,569,095x = 990,513,850,104,900
  5. Step 5: Solve for x
    x = 990,513,850,104,900/14,569,095
  6. Step 6: Final answer
    x = 67,987,328.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.