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Finding the Third Proportional to 65,927,232 and 96,984,792

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Solution

The third proportional to 65,927,232 and 96,984,792 is: 142,673,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,927,232 : 96,984,792 = 96,984,792 : x
  2. Step 2: Convert to fraction form
    65,927,232/96,984,792 = 96,984,792/x
  3. Step 3: Cross multiply
    65,927,232x = 96,984,792 × 96,984,792
  4. Step 4: Simplify right side
    65,927,232x = 9,406,049,879,283,264
  5. Step 5: Solve for x
    x = 9,406,049,879,283,264/65,927,232
  6. Step 6: Final answer
    x = 142,673,210.96

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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.