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Finding the Third Proportional to 317,552,712 and 681,052,134

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Solution

The third proportional to 317,552,712 and 681,052,134 is: 1,460,645,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,552,712 : 681,052,134 = 681,052,134 : x
  2. Step 2: Convert to fraction form
    317,552,712/681,052,134 = 681,052,134/x
  3. Step 3: Cross multiply
    317,552,712x = 681,052,134 × 681,052,134
  4. Step 4: Simplify right side
    317,552,712x = 463,832,009,225,953,984
  5. Step 5: Solve for x
    x = 463,832,009,225,953,984/317,552,712
  6. Step 6: Final answer
    x = 1,460,645,718.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.