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Finding the Third Proportional to 9,633,280 and 14,402,688

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Solution

The third proportional to 9,633,280 and 14,402,688 is: 21,533,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633,280 : 14,402,688 = 14,402,688 : x
  2. Step 2: Convert to fraction form
    9,633,280/14,402,688 = 14,402,688/x
  3. Step 3: Cross multiply
    9,633,280x = 14,402,688 × 14,402,688
  4. Step 4: Simplify right side
    9,633,280x = 207,437,421,625,344
  5. Step 5: Solve for x
    x = 207,437,421,625,344/9,633,280
  6. Step 6: Final answer
    x = 21,533,415.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.