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Finding the Third Proportional to 922,177,266.19 and 1,348,680,088.13

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Solution

The third proportional to 922,177,266.19 and 1,348,680,088.13 is: 1,972,438,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,177,266.19 : 1,348,680,088.13 = 1,348,680,088.13 : x
  2. Step 2: Convert to fraction form
    922,177,266.19/1,348,680,088.13 = 1,348,680,088.13/x
  3. Step 3: Cross multiply
    922,177,266.19x = 1,348,680,088.13 × 1,348,680,088.13
  4. Step 4: Simplify right side
    922,177,266.19x = 1,818,937,980,104,857,856
  5. Step 5: Solve for x
    x = 1,818,937,980,104,857,856/922,177,266.19
  6. Step 6: Final answer
    x = 1,972,438,539.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.