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Finding the Third Proportional to 145,511,591 and 310,072,023

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Solution

The third proportional to 145,511,591 and 310,072,023 is: 660,735,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,511,591 : 310,072,023 = 310,072,023 : x
  2. Step 2: Convert to fraction form
    145,511,591/310,072,023 = 310,072,023/x
  3. Step 3: Cross multiply
    145,511,591x = 310,072,023 × 310,072,023
  4. Step 4: Simplify right side
    145,511,591x = 96,144,659,447,312,528
  5. Step 5: Solve for x
    x = 96,144,659,447,312,528/145,511,591
  6. Step 6: Final answer
    x = 660,735,401.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.