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Finding the Third Proportional to 387,824,004.42 and 617,402,970.14

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Solution

The third proportional to 387,824,004.42 and 617,402,970.14 is: 982,885,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,824,004.42 : 617,402,970.14 = 617,402,970.14 : x
  2. Step 2: Convert to fraction form
    387,824,004.42/617,402,970.14 = 617,402,970.14/x
  3. Step 3: Cross multiply
    387,824,004.42x = 617,402,970.14 × 617,402,970.14
  4. Step 4: Simplify right side
    387,824,004.42x = 381,186,427,538,459,328
  5. Step 5: Solve for x
    x = 381,186,427,538,459,328/387,824,004.42
  6. Step 6: Final answer
    x = 982,885,079.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.