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Finding the Third Proportional to 976,447,564 and 2,142,527,688

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Solution

The third proportional to 976,447,564 and 2,142,527,688 is: 4,701,148,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,447,564 : 2,142,527,688 = 2,142,527,688 : x
  2. Step 2: Convert to fraction form
    976,447,564/2,142,527,688 = 2,142,527,688/x
  3. Step 3: Cross multiply
    976,447,564x = 2,142,527,688 × 2,142,527,688
  4. Step 4: Simplify right side
    976,447,564x = 4,590,424,893,846,625,280
  5. Step 5: Solve for x
    x = 4,590,424,893,846,625,280/976,447,564
  6. Step 6: Final answer
    x = 4,701,148,390.44

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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.