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Finding the Third Proportional to 870,860,301,537 and 1,210,861,640,196

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Solution

The third proportional to 870,860,301,537 and 1,210,861,640,196 is: 1,683,606,324,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,860,301,537 : 1,210,861,640,196 = 1,210,861,640,196 : x
  2. Step 2: Convert to fraction form
    870,860,301,537/1,210,861,640,196 = 1,210,861,640,196/x
  3. Step 3: Cross multiply
    870,860,301,537x = 1,210,861,640,196 × 1,210,861,640,196
  4. Step 4: Simplify right side
    870,860,301,537x = 1,466,185,911,698,147,371,909,120
  5. Step 5: Solve for x
    x = 1,466,185,911,698,147,371,909,120/870,860,301,537
  6. Step 6: Final answer
    x = 1,683,606,324,815.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.