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Finding the Third Proportional to 72,746,976 and 157,602,264

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Solution

The third proportional to 72,746,976 and 157,602,264 is: 341,436,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,746,976 : 157,602,264 = 157,602,264 : x
  2. Step 2: Convert to fraction form
    72,746,976/157,602,264 = 157,602,264/x
  3. Step 3: Cross multiply
    72,746,976x = 157,602,264 × 157,602,264
  4. Step 4: Simplify right side
    72,746,976x = 24,838,473,617,925,696
  5. Step 5: Solve for x
    x = 24,838,473,617,925,696/72,746,976
  6. Step 6: Final answer
    x = 341,436,510.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.