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Finding the Third Proportional to 895,817,344.50 and 1,281,020,352.75

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Solution

The third proportional to 895,817,344.50 and 1,281,020,352.75 is: 1,831,861,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,817,344.50 : 1,281,020,352.75 = 1,281,020,352.75 : x
  2. Step 2: Convert to fraction form
    895,817,344.50/1,281,020,352.75 = 1,281,020,352.75/x
  3. Step 3: Cross multiply
    895,817,344.50x = 1,281,020,352.75 × 1,281,020,352.75
  4. Step 4: Simplify right side
    895,817,344.50x = 1,641,013,144,159,734,528
  5. Step 5: Solve for x
    x = 1,641,013,144,159,734,528/895,817,344.50
  6. Step 6: Final answer
    x = 1,831,861,321.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.