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Finding the Third Proportional to 67,506,386.63 and 147,278,412

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Solution

The third proportional to 67,506,386.63 and 147,278,412 is: 321,316,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,506,386.63 : 147,278,412 = 147,278,412 : x
  2. Step 2: Convert to fraction form
    67,506,386.63/147,278,412 = 147,278,412/x
  3. Step 3: Cross multiply
    67,506,386.63x = 147,278,412 × 147,278,412
  4. Step 4: Simplify right side
    67,506,386.63x = 21,690,930,641,241,744
  5. Step 5: Solve for x
    x = 21,690,930,641,241,744/67,506,386.63
  6. Step 6: Final answer
    x = 321,316,718.69

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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.