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Finding the Third Proportional to 7,755,456 and 16,506,240

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Solution

The third proportional to 7,755,456 and 16,506,240 is: 35,130,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755,456 : 16,506,240 = 16,506,240 : x
  2. Step 2: Convert to fraction form
    7,755,456/16,506,240 = 16,506,240/x
  3. Step 3: Cross multiply
    7,755,456x = 16,506,240 × 16,506,240
  4. Step 4: Simplify right side
    7,755,456x = 272,455,958,937,600
  5. Step 5: Solve for x
    x = 272,455,958,937,600/7,755,456
  6. Step 6: Final answer
    x = 35,130,875.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.