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Finding the Third Proportional to 61,583,476 and 86,097,332

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Solution

The third proportional to 61,583,476 and 86,097,332 is: 120,369,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,583,476 : 86,097,332 = 86,097,332 : x
  2. Step 2: Convert to fraction form
    61,583,476/86,097,332 = 86,097,332/x
  3. Step 3: Cross multiply
    61,583,476x = 86,097,332 × 86,097,332
  4. Step 4: Simplify right side
    61,583,476x = 7,412,750,577,518,224
  5. Step 5: Solve for x
    x = 7,412,750,577,518,224/61,583,476
  6. Step 6: Final answer
    x = 120,369,148.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.