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Finding the Third Proportional to 295,155,804 and 645,913,896

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Solution

The third proportional to 295,155,804 and 645,913,896 is: 1,413,506,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,155,804 : 645,913,896 = 645,913,896 : x
  2. Step 2: Convert to fraction form
    295,155,804/645,913,896 = 645,913,896/x
  3. Step 3: Cross multiply
    295,155,804x = 645,913,896 × 645,913,896
  4. Step 4: Simplify right side
    295,155,804x = 417,204,761,045,898,816
  5. Step 5: Solve for x
    x = 417,204,761,045,898,816/295,155,804
  6. Step 6: Final answer
    x = 1,413,506,884.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.