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Finding the Third Proportional to 64,289,634 and 97,032,309

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Solution

The third proportional to 64,289,634 and 97,032,309 is: 146,450,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,289,634 : 97,032,309 = 97,032,309 : x
  2. Step 2: Convert to fraction form
    64,289,634/97,032,309 = 97,032,309/x
  3. Step 3: Cross multiply
    64,289,634x = 97,032,309 × 97,032,309
  4. Step 4: Simplify right side
    64,289,634x = 9,415,268,989,871,480
  5. Step 5: Solve for x
    x = 9,415,268,989,871,480/64,289,634
  6. Step 6: Final answer
    x = 146,450,810.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.