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Finding the Third Proportional to 7,657,810 and 16,329,294

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Solution

The third proportional to 7,657,810 and 16,329,294 is: 34,820,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,810 : 16,329,294 = 16,329,294 : x
  2. Step 2: Convert to fraction form
    7,657,810/16,329,294 = 16,329,294/x
  3. Step 3: Cross multiply
    7,657,810x = 16,329,294 × 16,329,294
  4. Step 4: Simplify right side
    7,657,810x = 266,645,842,538,436
  5. Step 5: Solve for x
    x = 266,645,842,538,436/7,657,810
  6. Step 6: Final answer
    x = 34,820,117.31

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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.