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Finding the Third Proportional to 46,308,924 and 68,076,018

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Solution

The third proportional to 46,308,924 and 68,076,018 is: 100,074,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,308,924 : 68,076,018 = 68,076,018 : x
  2. Step 2: Convert to fraction form
    46,308,924/68,076,018 = 68,076,018/x
  3. Step 3: Cross multiply
    46,308,924x = 68,076,018 × 68,076,018
  4. Step 4: Simplify right side
    46,308,924x = 4,634,344,226,736,324
  5. Step 5: Solve for x
    x = 4,634,344,226,736,324/46,308,924
  6. Step 6: Final answer
    x = 100,074,539.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.