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Finding the Third Proportional to 895,832,835 and 1,390,914,652.50

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Solution

The third proportional to 895,832,835 and 1,390,914,652.50 is: 2,159,603,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,832,835 : 1,390,914,652.50 = 1,390,914,652.50 : x
  2. Step 2: Convert to fraction form
    895,832,835/1,390,914,652.50 = 1,390,914,652.50/x
  3. Step 3: Cross multiply
    895,832,835x = 1,390,914,652.50 × 1,390,914,652.50
  4. Step 4: Simplify right side
    895,832,835x = 1,934,643,570,539,195,648
  5. Step 5: Solve for x
    x = 1,934,643,570,539,195,648/895,832,835
  6. Step 6: Final answer
    x = 2,159,603,326.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.