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Finding the Third Proportional to 16,870,547,428 and 36,280,054,232

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Solution

The third proportional to 16,870,547,428 and 36,280,054,232 is: 78,020,131,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870,547,428 : 36,280,054,232 = 36,280,054,232 : x
  2. Step 2: Convert to fraction form
    16,870,547,428/36,280,054,232 = 36,280,054,232/x
  3. Step 3: Cross multiply
    16,870,547,428x = 36,280,054,232 × 36,280,054,232
  4. Step 4: Simplify right side
    16,870,547,428x = 1,316,242,335,076,861,083,648
  5. Step 5: Solve for x
    x = 1,316,242,335,076,861,083,648/16,870,547,428
  6. Step 6: Final answer
    x = 78,020,131,871.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.