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Finding the Third Proportional to 698,447,065 and 1,520,897,028

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Solution

The third proportional to 698,447,065 and 1,520,897,028 is: 3,311,815,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,447,065 : 1,520,897,028 = 1,520,897,028 : x
  2. Step 2: Convert to fraction form
    698,447,065/1,520,897,028 = 1,520,897,028/x
  3. Step 3: Cross multiply
    698,447,065x = 1,520,897,028 × 1,520,897,028
  4. Step 4: Simplify right side
    698,447,065x = 2,313,127,769,779,232,768
  5. Step 5: Solve for x
    x = 2,313,127,769,779,232,768/698,447,065
  6. Step 6: Final answer
    x = 3,311,815,434.11

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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.