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Finding the Third Proportional to 6,352,547,580 and 9,610,523,640

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Solution

The third proportional to 6,352,547,580 and 9,610,523,640 is: 14,539,389,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352,547,580 : 9,610,523,640 = 9,610,523,640 : x
  2. Step 2: Convert to fraction form
    6,352,547,580/9,610,523,640 = 9,610,523,640/x
  3. Step 3: Cross multiply
    6,352,547,580x = 9,610,523,640 × 9,610,523,640
  4. Step 4: Simplify right side
    6,352,547,580x = 92,362,164,634,998,849,536
  5. Step 5: Solve for x
    x = 92,362,164,634,998,849,536/6,352,547,580
  6. Step 6: Final answer
    x = 14,539,389,665.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.