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Finding the Third Proportional to 692,605,755 and 1,523,730,258

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Solution

The third proportional to 692,605,755 and 1,523,730,258 is: 3,352,201,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,605,755 : 1,523,730,258 = 1,523,730,258 : x
  2. Step 2: Convert to fraction form
    692,605,755/1,523,730,258 = 1,523,730,258/x
  3. Step 3: Cross multiply
    692,605,755x = 1,523,730,258 × 1,523,730,258
  4. Step 4: Simplify right side
    692,605,755x = 2,321,753,899,144,746,496
  5. Step 5: Solve for x
    x = 2,321,753,899,144,746,496/692,605,755
  6. Step 6: Final answer
    x = 3,352,201,281.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.