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Finding the Third Proportional to 237,740,457 and 517,686,870.75

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Solution

The third proportional to 237,740,457 and 517,686,870.75 is: 1,127,278,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,740,457 : 517,686,870.75 = 517,686,870.75 : x
  2. Step 2: Convert to fraction form
    237,740,457/517,686,870.75 = 517,686,870.75/x
  3. Step 3: Cross multiply
    237,740,457x = 517,686,870.75 × 517,686,870.75
  4. Step 4: Simplify right side
    237,740,457x = 267,999,696,146,927,200
  5. Step 5: Solve for x
    x = 267,999,696,146,927,200/237,740,457
  6. Step 6: Final answer
    x = 1,127,278,459.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.